Sahand Communications in Mathematical AnalysisSahand Communications in Mathematical Analysis
http://scma.maragheh.ac.ir/
Thu, 19 Oct 2017 10:48:16 +0100FeedCreatorSahand Communications in Mathematical Analysis
http://scma.maragheh.ac.ir/
Feed provided by Sahand Communications in Mathematical Analysis. Click to visit.$r$-fuzzy regular semi open sets in smooth topological spaces
http://scma.maragheh.ac.ir/article_22080_4097.html
In this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. By using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior (closure) operator. Also, we introduce fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. Moreover, we investigate the relationship among fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. Finally, we have given some counter examples to show that these types of mappings are not equivalent.Fri, 31 Mar 2017 19:30:00 +0100Dynamic equivalence relation on the fuzzy measure algebras
http://scma.maragheh.ac.ir/article_22015_4097.html
The main goal of the present paper is to extend classical results from the measure theory and dynamical systems to the fuzzy subset setting. In this paper, the notion of dynamic equivalence relation is introduced and then it is proved that this relation is an equivalence relation. Also, a new metric on the collection of all equivalence classes is introduced and it is proved that this metric is complete.Fri, 31 Mar 2017 19:30:00 +0100Fuzzy weakly $e$-closed functions
http://scma.maragheh.ac.ir/article_23649_4097.html
In this paper, we introduce and characterize fuzzy wea-kly $e$-closed functions in fuzzy topological spaces and the relationship between these mappings and some properties of them are investigated.Fri, 31 Mar 2017 19:30:00 +0100Fixed point results in cone metric spaces endowed with a graph
http://scma.maragheh.ac.ir/article_23163_4097.html
In this paper, we prove the existence of fixed point for Chatterjea type mappings under $c$-distance in cone metric spaces endowed with a graph. The main results extend, generalized and unified some fixed point theorems on $c$-distance in metric and cone metric spaces.Fri, 31 Mar 2017 19:30:00 +0100Approximation of fixed points for a continuous representation of nonexpansive mappings in ...
http://scma.maragheh.ac.ir/article_22988_4097.html
This paper introduces an implicit scheme for a continuous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup. The main result is to prove the strong convergence of the proposed implicit scheme to the unique solution of the variational inequality on the solution of systems of equilibrium problems and the common fixed points of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings.Fri, 31 Mar 2017 19:30:00 +0100The analytical solutions for Volterra integro-differential equations within Local fractional ...
http://scma.maragheh.ac.ir/article_23686_4097.html
In this paper, we apply the local fractional Laplace transform method (or Yang-Laplace transform) on Volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative operators. This approach provides us with a convenient way to find a solution with less computation as compared with local fractional variational iteration method. Some illustrative examples are discussed. The results show that the methodology is very efficient and a simple tool for solving integral equations.Fri, 31 Mar 2017 19:30:00 +0100A generalization of Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces
http://scma.maragheh.ac.ir/article_23831_4097.html
In this paper, we give some results on the common fixed point of self-mappings defined on complete $b$-metric spaces. Our results generalize Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces. In particular, we show that two self-mappings satisfying a contraction type inequality have a unique common fixed point. We also give some examples to illustrate the given results.Fri, 31 Mar 2017 19:30:00 +0100Contra $\beta^{*}$-continuous and almost contra $\beta^{*}$-continuous functions
http://scma.maragheh.ac.ir/article_22045_0.html
The notion of contra continuous functions was introduced and investigated by Dontchev. In this paper, we apply the notion of $beta^{*}$-closed sets in topological space to present and study a new class of functions called contra $beta^{*}$-continuous and almost contra $beta^{*}$-continuous functions as a new generalization of contra continuity.Fri, 07 Oct 2016 20:30:00 +0100Compare and contrast between duals of fusion and discrete frames
http://scma.maragheh.ac.ir/article_22412_0.html
Fusion frames are valuable generalizations of discrete frames. Most concepts of fusion frames are shared by discrete frames. However, the dual setting is so complicated. In particular, unlike discrete frames, two fusion frames are not dual of each other in general. In this paper, we investigate the structure of the duals of fusion frames and discuss the relation between the duals of fusion frames with their associated discrete frames.Mon, 31 Oct 2016 20:30:00 +0100Generalized Ritt type and generalized Ritt weak type connected growth properties of entire ...
http://scma.maragheh.ac.ir/article_22636_0.html
In this paper, we introduce the idea of generalized Ritt type and generalised Ritt weak type of entire functions represented by a vector valued Dirichlet series. Hence, we study some growth properties of two entire functions represented by a vector valued Dirichlet series on the basis of generalized Ritt type and generalised Ritt weak type.Sun, 20 Nov 2016 20:30:00 +0100Stability of additive functional equation on discrete quantum semigroups
http://scma.maragheh.ac.ir/article_22852_0.html
We construct a noncommutative analog of additive functional equations on discrete quantum semigroups and show that this noncommutative functional equation has Hyers-Ulam stability on amenable discrete quantum semigroups. The discrete quantum semigroups that we consider in this paper are in the sense of van Daele, and the amenability is in the sense of Bèdos-Murphy-Tuset. Our main result generalizes a famous and old result due to Forti on the Hyers-Ulam stability of additive functional equations on amenable classical discrete semigroups.Fri, 25 Nov 2016 20:30:00 +0100On an atomic decomposition in Banach spaces
http://scma.maragheh.ac.ir/article_22984_0.html
An atomic decomposition is considered in Banach space. A method for constructing an atomic decomposition of Banach space, starting with atomic decomposition of subspaces is presented. Some relations between them are established. The proposed method is used in the study of the frame properties of systems of eigenfunctions and associated functions of discontinuous differential operators.Fri, 02 Dec 2016 20:30:00 +0100Second dual space of little $\alpha$-Lipschitz vector-valued operator algebras
http://scma.maragheh.ac.ir/article_23072_0.html
Let $(X,d)$ be an infinite compact metric space, let $(B,parallel . parallel)$ be a unital Banach space, and take $alpha in (0,1).$ In this work, at first we define the big and little $alpha$-Lipschitz vector-valued (B-valued) operator algebras, and consider the little $alpha$-lipschitz $B$-valued operator algebra, $lip_{alpha}(X,B)$. Then we characterize its second dual space.Fri, 09 Dec 2016 20:30:00 +0100On $L^*$-proximate order of meromorphic function
http://scma.maragheh.ac.ir/article_23127_0.html
In this paper we introduce the notion of $L^{* }$-proximate order of meromorphic function and prove its existence.Sat, 17 Dec 2016 20:30:00 +0100Generated topology on infinite sets by ultrafilters
http://scma.maragheh.ac.ir/article_23337_0.html
Let $X$ be an infinite set, equipped with a topology $tau$. In this paper we studied the relationship between $tau$, and ultrafilters on $X$. We can discovered, among other thing, some relations of the Robinson's compactness theorem, continuity and the separation axioms. It is important also, aspects of communication between mathematical concepts.Fri, 30 Dec 2016 20:30:00 +0100On the cyclic Homology of multiplier Hopf algebras
http://scma.maragheh.ac.ir/article_23645_0.html
In this paper, we will study the theory of cyclic homology for regular multiplier Hopf algebras. We associatea cyclic module to a triple $(mathcal{R},mathcal{H},mathcal{X})$ consisting of a regularmultiplier Hopf algebra $mathcal{H}$, a left $mathcal{H}$-comodule algebra $mathcal{R}$, and a unital left$mathcal{H}$-module $mathcal{X}$ which is also a unital algebra. First, we construct a paracyclic module to a triple $(mathcal{R},mathcal{H},mathcal{X})$ and then prove the existence of a cyclic structure associated to this triple.Wed, 11 Jan 2017 20:30:00 +0100$G$-Frames for operators in Hilbert spaces
http://scma.maragheh.ac.ir/article_23646_0.html
$K$-frames as a generalization of frames were introduced by L. Gu{a}vruc{t}a to study atomic systems on Hilbert spaces which allows, in a stable way, to reconstruct elements from the range of the bounded linear operator $K$ in a Hilbert space. Recently some generalizations of this concept are introduced and some of its difference with ordinary frames are studied. In this paper, we give a new generalization of $K$-frames. After proving some characterizations of generalized $K$-frames, new results are investigated and some new perturbation results are established. Finally, we give several characterizations of $K$-duals.Wed, 11 Jan 2017 20:30:00 +0100On some results in the light of generalized relative Ritt order of entire functions represented ...
http://scma.maragheh.ac.ir/article_23647_0.html
In this paper, we study some growth properties of entire functions represented by a vector valued Dirichlet series on the basis of generalized relative Ritt order and generalized relative Ritt lower order.Wed, 11 Jan 2017 20:30:00 +0100Some notes for topological centers on the duals of Banach algebras
http://scma.maragheh.ac.ir/article_23648_0.html
We introduce the weak topological centers of left and right module actions and we study some of their properties. We investigate the relationship between these new concepts and the topological centers of of left and right module actions with some results in the group algebras.Wed, 11 Jan 2017 20:30:00 +0100Density near zero
http://scma.maragheh.ac.ir/article_23682_0.html
Let $S$ be a dense subsemigroup of $(0,+infty)$. In this paper, we state definition of thick near zero, and also we will introduce a definition that is equivalent to the definition of piecewise syndetic near zero which presented by Hindman and Leader in cite{Hin-Lead}. We define density near zero for subsets of $S$ by a collection of nonempty finite subsets of $S$ and we investigate the conditions under these concepts.Sat, 14 Jan 2017 20:30:00 +0100Linear Maps preserving invertibility or spectral radius on some $C^{*}$-algebras
http://scma.maragheh.ac.ir/article_23702_0.html
Let $A$ be a unital $C^{*}$-algebra which has a faithful state. If $varphi:Arightarrow A$ is a unital linear map which is bijective and invertibility preserving or surjective and spectral radius preserving, then $varphi$ is a Jordan isomorphism. Also, we discuss other types of linear preserver maps on $A$.Sun, 15 Jan 2017 20:30:00 +0100Frames in super Hilbert modules
http://scma.maragheh.ac.ir/article_23847_0.html
In this paper, we define super Hilbert module and investigate frames in this space. Super Hilbert modules are generalization of super Hilbert spaces in Hilbert C*-module setting. Also, we define frames in a super Hilbert module and characterize them by using of the concept of g-frames in a Hilbert C*-module. Finally, disjoint frames in Hilbert C*-modules are introduced and investigated.Mon, 23 Jan 2017 20:30:00 +0100Subspace-diskcyclic sequences of linear operators
http://scma.maragheh.ac.ir/article_23850_0.html
A sequence ${T_n}_{n=1}^{infty}$ of bounded linear operators on a separable infinite dimensional Hilbert space $mathcal{H}$ is called subspace-diskcyclic with respect to the closed subspace $Msubseteq mathcal{H},$ if there exists a vector $xin mathcal{H}$ such that the disk-scaled orbit ${alpha T_n x: nin mathbb{N}, alpha inmathbb{C}, | alpha | leq 1}cap M$ is dense in $M$. The goal of this paper is the studying of subspace diskcyclic sequence of operators like as the well known results in a single operator case. In the first section of this paper, we study some conditions that imply the diskcyclicity of ${T_n}_{n=1}^{infty}$. In the second section, we survey some conditions and subspace-diskcyclicity criterion (analogue the results obtained by some authors in cite{MR1111569, MR2261697, MR2720700}) which are sufficient for the sequence ${T_n}_{n=1}^{infty}$ to be subspace-diskcyclic(subspace-hypercyclic).Mon, 23 Jan 2017 20:30:00 +0100On the reducible $M$-ideals in Banach spaces
http://scma.maragheh.ac.ir/article_23873_0.html
The object of the investigation is to study reducible $M$-ideals in Banach spaces. It is shown that if the number of $M$-ideals in a Banach space $X$ is $n(<infty)$, then the number of reducible $M$-ideals does not exceed of $frac{(n-2)(n-3)}{2}$. Moreover, given a compact metric space $X$, we obtain a general form of a reducible $M$-ideal in the space $C(X)$ of continuous functions on $X$. The intersection of two $M$-ideals is not necessarily reducible. We construct a subset of the set of all $M$-ideals in a Banach space $X$ such that the intersection of any pair of it's elements is reducible. Also, some Banach spaces $X$ and $Y$ for which $K(X,Y)$ is not a reducible $M$-ideal in $L(X,Y)$, are presented. Finally, a weak version of reducible $M$-ideal called semi reducible $M$-ideal is introduced.Tue, 24 Jan 2017 20:30:00 +0100$G$-asymptotic contractions in metric spaces with a graph and fixed point results
http://scma.maragheh.ac.ir/article_23946_0.html
In this paper, we discuss the existence and uniqueness of fixed points for $G$-asymptotic contractions in metric spaces endowed with a graph. The result given here is a new version of Kirk's fixed point theorem for asymptotic contractions in metric spaces endowed with a graph. The given result here is a generalization of fixed point theorem for asymptotic contraction from metric s paces to metric spaces endowed with a graph.Sun, 29 Jan 2017 20:30:00 +0100On some results of entire functions of two complex variables using their relative lower order
http://scma.maragheh.ac.ir/article_24171_0.html
Some basic properties relating to relative lower order of entire functions of two complex variables are discussed in this paper.Fri, 03 Feb 2017 20:30:00 +0100Quasicompact and Riesz unital endomorphisms of real Lipschitz algebras of complex-valued functions
http://scma.maragheh.ac.ir/article_24240_0.html
We first show that a bounded linear operator $ T $ on a real Banach space $ E $ is quasicompact (Riesz, respectively) if and only if $T': E_{mathbb{C}}longrightarrow E_{mathbb{C}}$ is quasicompact (Riesz, respectively), where the complex Banach space $E_{mathbb{C}}$ is a suitable complexification of $E$ and $T'$ is the complex linear operator on $E_{mathbb{C}}$ associated with $T$. Next, we prove that every unital endomorphism of real Lipschitz algebras of complex-valued functions on compact metric spaces with Lipschitz involutions is a composition operator. Finally, we study some properties of quasicompact and Riesz unital endomorphisms of these algebras.Sun, 05 Feb 2017 20:30:00 +0100Some properties and results for certain subclasses of starlike and convex functions
http://scma.maragheh.ac.ir/article_24245_0.html
In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $; meromorphic and starlike functions of order $ beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.Mon, 06 Feb 2017 20:30:00 +0100Non-Archimedean fuzzy metric spaces and Best proximity point theorems
http://scma.maragheh.ac.ir/article_24627_0.html
In this paper, we introduce some new classes of proximal contraction mappings and establish best proximity point theorems for such kinds of mappings in a non-Archimedean fuzzy metric space. As consequences of these results, we deduce certain new best proximity and fixed point theorems in partially ordered non-Archimedean fuzzy metric spaces. Moreover, we present an example to illustrate the usability of the obtained results.Fri, 03 Mar 2017 20:30:00 +0100Similar generalized frames
http://scma.maragheh.ac.ir/article_24628_0.html
Generalized frames are an extension of frames in Hilbert spaces and Hilbert $C^*$-modules. In this paper, the concept ''Similar" for modular $g$-frames is introduced and all of operator duals (ordinary duals) of similar $g$-frames with respect to each other are characterized. Also, an operator dual of a given $g$-frame is studied where $g$-frame is constructed by a primary $g$-frame and an orthogonal projection. Moreover, a $g$-frame is obtained by two the $g$-frames and its operator duals are investigated. Finally, the dilation of $g$-frames is studied.Fri, 03 Mar 2017 20:30:00 +0100On the stability of the Pexiderized cubic functional equation in multi-normed spaces
http://scma.maragheh.ac.ir/article_24755_0.html
In this paper, we investigate the Hyers-Ulam stability of the orthogonally cubic equation and Pexiderized cubic equation [f(kx+y)+f(kx-y)=g(x+y)+g(x-y)+frac{2}{k}g(kx)-2g(x),]in multi-normed spaces by the direct method and the fixed point method. Moreover, we prove the Hyers-Ulam stability of the $2$-variables cubic equation [ f(2x+y,2z+t)+f(2x-y,2z-t) =2f(x+y,z+t) +2f(x-y,z-t)+12f(x,z),]and orthogonally cubic type and $k$-cubic equation in multi-normed spaces. A counter example for non stability of the cubic equation is also discussed.Fri, 10 Mar 2017 20:30:00 +0100A cone theoretic Krein-Milman theorem in semitopological cones
http://scma.maragheh.ac.ir/article_24756_0.html
In this paper, a Krein-Milman type theorem in $T_0$ semitopological cone is proved, in general. In fact, it is shown that in any locally convex $T_0$ semitopological cone, every convex compact saturated subset is the compact saturated convex hull of its extreme points, which improves the results of Larrecq.Fri, 10 Mar 2017 20:30:00 +0100Extensions of Saeidi's Propositions for finding a unique solution of a variational inequality ...
http://scma.maragheh.ac.ir/article_25887_0.html
Let $C$ be a nonempty closed convex subset of a real Banach space $E$, let $B : C rightarrow E $ be a nonlinear map, and let $u, v$ be positive numbers. In this paper, we show that the generalized variational inequality $V I (C, B)$ is singleton for $(u, v)$-cocoercive mappings under appropriate assumptions on Banach spaces. The main results are extensions of the Saeidi's Propositions for finding a unique solution of the variational inequality for $(u, v)$-cocoercive mappings in Banach spaces.Sat, 17 Jun 2017 19:30:00 +0100Coupled fixed point results for $\alpha$-admissible Mizoguchi-Takahashi contractions in ...
http://scma.maragheh.ac.ir/article_25889_0.html
The aim of this paper is to establish some fixed point theorems for $alpha$-admissible Mizoguchi-Takahashi contractive mappings defined on a ${b}$-metric space which generalize the results of Gordji and Ramezani cite{Roshan6}. As a result, we obtain some coupled fixed point theorems which generalize the results of '{C}iri'{c} {et al.} cite{Ciric3}. We also present an application in order to illustrate the effectiveness of our results.Sat, 17 Jun 2017 19:30:00 +0100Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator
http://scma.maragheh.ac.ir/article_25952_0.html
In this paper, we introduce and investigate two new subclasses of the functions class $ Sigma $ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We estimate the coefficients $|a_{2} |$ and $|a_{3} |$ for functions in these new subclasses. Several consequences of the result are also pointed out.Mon, 19 Jun 2017 19:30:00 +0100Fixed and common fixed points for $(\psi,\varphi)$-weakly contractive mappings in $b$-metric spaces
http://scma.maragheh.ac.ir/article_26524_0.html
In this paper, we give a fixed point theorem for $(psi,varphi)$-weakly contractive mappings in complete $b$-metric spaces. We also give a common fixed point theorem for such mappings in complete $b$-metric spaces via altering functions. The given results generalize two known results in the setting of metric spaces. Two examples are given to verify the given results.Sat, 22 Jul 2017 19:30:00 +0100On generalized topological molecular lattices
http://scma.maragheh.ac.ir/article_27148_0.html
In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices, topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces. Topological molecular lattices were defined by closed elements, but in this new structure we present the concept of the open elements and define a closed element by the pseudocomplement of an open element. We have two structures on a completely distributive complete lattice, topology and generalized co-topology which are not dual to each other. We study the basic concepts, in particular separation axioms and some relations among them.Sat, 26 Aug 2017 19:30:00 +0100The spectral properties of differential operators with Matrix coefficients on Elliptic systems ...
http://scma.maragheh.ac.ir/article_27152_0.html
Let $$(Lv)(t)=sum^{n} _{i,j=1} (-1)^{j} d_{j} left( s^{2alpha}(t) b_{ij}(t) mu(t) d_{i}v(t)right),$$ be a non-selfadjoint differential operator on the Hilbert space $L_{2}(Omega)$ with Dirichlet-type boundary conditions. In continuing of papers [10-12], let the conditions made on the operator $ L$ be sufficiently more general than [11] and [12] as defined in Section $1$. In this paper, we estimate the resolvent of the operator $L$ on the one-dimensional space $ L_{2}(Omega)$ using some analytic methods.Sun, 27 Aug 2017 19:30:00 +0100Convergence of Integro Quartic and Sextic B-Spline interpolation
http://scma.maragheh.ac.ir/article_27153_0.html
In this paper, quadratic and sextic B-splines are used to construct an approximating function based on the integral values instead of the function values at the knots. This process due to the type of used B-splines (fourth order or sixth order), called integro quadratic or sextic spline interpolation. After introducing the integro quartic and sextic B-spline interpolation, their convergence is discussed. The interpolation errors are studied. Numerical results illustrate the efficiency and effectiveness of the new interpolation method.Sun, 27 Aug 2017 19:30:00 +0100Some properties of reproducing Kernel Banach and Hilbert spaces
http://scma.maragheh.ac.ir/article_27822_0.html
This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular, we try to extend this concept and prove some related theorems. Moreover, we focus on reproducing kernels in vector-valued reproducing kernel Hilbert spaces. In particular, we extend reproducing kernels to relative reproducing kernels and prove some theorems in this subject.Tue, 10 Oct 2017 20:30:00 +0100Existence of three solutions for a class of quasilinear elliptic systems involving the ...
http://scma.maragheh.ac.ir/article_27915_0.html
The aim of this paper is to obtain three weak solutions for the Dirichlet quasilinear elliptic systems on a bonded domain. Our technical approach is based on the general three critical points theorem obtained by Ricceri.Sat, 14 Oct 2017 20:30:00 +0100On the integral representations of generalized relative type and generalized relative weak type ...
http://scma.maragheh.ac.ir/article_27953_0.html
In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.Sun, 15 Oct 2017 20:30:00 +0100On character space of the algebra of BSE-functions
http://scma.maragheh.ac.ir/article_27982_0.html
Suppose that $A$ is a semi-simple and commutative Banach algebra. In this paper we try to characterize the character space of the Banach algebra $C_{rm{BSE}}(Delta(A))$ consisting of all BSE-functions on $Delta(A)$ where $Delta(A)$ denotes the character space of $A$. Indeed, in the case that $A=C_0(X)$ where $X$ is a non-empty locally compact Hausdroff space, we give a complete characterization of $Delta(C_{rm{BSE}}(Delta(A)))$ and in the general case we give a partial answer. Also, using the Fourier algebra, we show that $C_{rm{BSE}}(Delta(A))$ is not a $C^*$-algebra in general. Finally for some subsets $E$ of $A^*$, we define the subspace of BSE-like functions on $Delta(A)cup E$ and give a nice application of this space related to Goldstine's theorem.Tue, 17 Oct 2017 20:30:00 +0100