Sahand Communications in Mathematical Analysis
https://scma.maragheh.ac.ir/
Sahand Communications in Mathematical Analysisendaily1Sun, 01 Aug 2021 00:00:00 +0430Sun, 01 Aug 2021 00:00:00 +0430Fixed Points of $p$-Hybrid $L$-Fuzzy Contractions
https://scma.maragheh.ac.ir/article_244325.html
In this paper, the notion of $p$-hybrid $L$-fuzzy contractions in the framework of $b$-metric space is introduced. Sufficient conditions for existence of common $L$-fuzzy fixed points under such contractions are also investigated. The established ideas are generalizations of many concepts in fuzzy mathematics. In the case where our postulates are reduced to their classical variants, the concept presented herein merges and extends several significant and well-known fixed point theorems in the setting of both single-valued and multi-valued mappings in the corresponding literature of discrete and computational mathematics.&nbsp; A few of these special cases are pointed out and discussed. In support of our main hypotheses, a nontrivial example is provided.A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation
https://scma.maragheh.ac.ir/article_244326.html
We define a new subclass of univalent harmonic mappings using multiplier transformation and investigate various properties like necessary and sufficient conditions, extreme points, starlikeness,&nbsp; radius of convexity. We prove that the class is closed under harmonic convolutions and convex combinations. Finally, we show that this class is invariant under Bernandi-Libera-Livingston integral for harmonic functions.On Some Linear Operators Preserving Disjoint Support Property
https://scma.maragheh.ac.ir/article_244939.html
The aim of this work is to characterize all bounded linear operators $T:\lpi\rightarrow\lpi$ which preserve disjoint support property. We show that the constant coefficients of all isometries on $\lpi$ are in the class of such operators, where $2\neq p\in [1,\infty )$ and $I$ is a non-empty set. We extend preserving disjoint support property to linear operators on $\mathfrak{c}_{0}(I).$ At the end, we obtain some equivalent properties of isometries on Banach spaces.Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert Spaces
https://scma.maragheh.ac.ir/article_244940.html
The present paper seeks to prove the existence and uniqueness of solutions to stochastic evolution equations in Hilbert spaces driven by both Poisson random measure and Wiener process with non-Lipschitz drift term. The proof is provided by the theory of measure of noncompactness and condensing operators. Moreover, we give some examples to illustrate the application of our main theorem.Bicomplex Frames
https://scma.maragheh.ac.ir/article_244941.html
We define in a natural way the bicomplex analog of the frames (bc-frames) in the setting of&nbsp; bicomplex infinite Hilbert spaces, and we characterize them in terms of their idempotent components. We also extend some classical results from frames theory to bc-frames and show that some of them do not remain valid for bc-frames in general. The construction of bc-frame operators and Weyl--Heisenberg bc-frames are also discussed.Integral $K$-Operator Frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$
https://scma.maragheh.ac.ir/article_245093.html
In this work, we introduce a new concept of integral $K$-operator frame for the set of all adjointable operators from a Hilbert $C^{\ast}$-module $\mathcal{H}$ to&nbsp; itself denoted by $End_{\mathcal{A}}^{\ast}(\mathcal{H}) $.&nbsp; We give some properties relating to some constructions of integral $K$-operator frames and to operators preserving&nbsp; integral $K$-operator frame and we establish some new results.Characteristics of Solutions of Fractional Hybrid Integro-Differential Equations in Banach Algebra
https://scma.maragheh.ac.ir/article_245096.html
In this paper, we discuss the existence results for a class of hybrid initial value problems of Riemann-Liouville fractional differential equations. Our investigation is based on the Dhage hybrid fixed point theorem, remarks and some special cases will be discussed. The continuous dependence of the unique solution on one of its functions will be proved.Woven g-Fusion Frames in Hilbert Spaces
https://scma.maragheh.ac.ir/article_245656.html
In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces. We extend some of the recent results of standard woven frames and woven fusion frames to woven g-fusion frames. Also, we study perturbations of woven g-fusion frames.Boundary Value Problems in Thermo Viscoplasticity
https://scma.maragheh.ac.ir/article_246178.html
In this work, we study two uncoupled quasistatic problems for thermo viscoplastic materials. In the model of the equation of generalised thermo viscoplasticity, both the elastic and the plastic rate of deformation depend on a parameter $\theta $ which may be interpreted as the absolute temperature. The boundary conditions considered here as displacement-traction conditions as well as unilateral contact conditions. We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem, reducing the isotherm problem to an ordinary differential equation in a Hilbert space.On Approximating Fixed Point in CAT(0) Spaces
https://scma.maragheh.ac.ir/article_246179.html
In this paper, we obtain a new modified iteration process in the setting of CAT(0) spaces involving generalized $\alpha$-nonexpansive mapping. We prove strong and $\Delta$ convergence results for approximating fixed point via newly defined iteration process. Further, we reconfirm our results by non trivial example and tables.Fixed Point Theorems for Fuzzy $(\gamma,\beta)$-Contractions in non-Archimedean Fuzzy Metric Spaces
https://scma.maragheh.ac.ir/article_246750.html
In this paper, &nbsp;we introduce new concepts of fuzzy $(\gamma,\beta )$-contraction and prove some fixed point results for fuzzy $(\gamma,\beta )$-contractions in complete non-Archimedean fuzzy metric spaces. Later, we define a fuzzy $(\gamma,\beta )$-weak contraction and establish some new fixed point results for fuzzy $(\gamma,\beta )$-weak contractions. Also, some examples are supplied in order to support the useability of ourresults.$\mathcal{I}$-convergence in Fuzzy Cone Normed Spaces
https://scma.maragheh.ac.ir/article_246752.html
The aim of this paper is to define and study the concept of $\mathcal{I}$-convergence in fuzzy cone normed space which is a generalization of R. Saadati and S. M. Vaezpour type fuzzy normal space. We also obtained some basic properties of $\mathcal{I}$-convergence. In fuzzy cone normed space, $\mathcal{I}$-limit point and $\mathcal{I}$-cluster point were defined and studied.