Sahand Communications in Mathematical Analysis
https://scma.maragheh.ac.ir/
Sahand Communications in Mathematical Analysisendaily1Sat, 01 Oct 2022 00:00:00 +0330Sat, 01 Oct 2022 00:00:00 +0330Modified Inertial Algorithms for a Class of Split Feasibility Problems and Fixed Point Problems in Hilbert Spaces
https://scma.maragheh.ac.ir/article_253235.html
In this work, we introduce an iterative algorithm for solving the split feasibility problem on zeros of the sum of monotone operators and fixed point sets and also solving the fixed point problem of a nonexpansive mapping. This algorithm is a modification of the method based on the inertial and Mann viscosity-type methods. By assuming the existence of solutions, we show the strong convergence theorems of the constructed sequences. Finally, we also apply the proposed algorithm to related problems in Hilbert spaces.On a Class of Sequences Related to $p$-Absolutely Summable Sequences in Metric Space Defined by Orlicz Functions
https://scma.maragheh.ac.ir/article_255058.html
In this article we have introduced the sequence space $m(\phi,d)$ and $m(M,\phi,d)$ of W. L. C. Sargent type in a metric space $(X, d)$ on generalising the sequence space $m(\phi)$ and we have defined these sequence spaces using the Orlicz function $M$. We have investigated their different properties like solidness, symmetricity, monotone, sequence algebra, completeness etc. We have established some inclusion results involving the space $m(M,\phi,d)$ and some of the existing sequence spaces. We have provided suitable examples and discussed in detail, in order to justify the failure cases and the definitions we have introduced. The results established in this article generalized and unifies several existing results.Godunova Type Inequality for Sugeno Integral
https://scma.maragheh.ac.ir/article_255059.html
In this paper, we investigate &nbsp;Godunova type inequality for Sugeno integrals in two cases. At the first case, we suppose that the inner integral is the &nbsp;Riemann integral and the remaining two integrals are of Sugeno type. At the second case, all the integrals are assumed Sugeno integrals. We present several examples to illustrate &nbsp;validity of our results.Invertibility of Multipliers for Continuous G-frames
https://scma.maragheh.ac.ir/article_255113.html
In this paper, we study the concept of multipliers for the continuous $g$-Bessel families in Hilbert spaces. We present necessary conditions for invertibility of multipliers for the continuous $g$-Bessel families and sufficient conditions for invertibility of multipliers for continuous $g$-frames.On Subclasses of Analytic Functions Associated with Miller-Ross-Type Poisson Distribution Series
https://scma.maragheh.ac.ir/article_255146.html
The aim of this article is to obtain some necessary and sufficient conditions for &nbsp;functions, whose coefficients are probabilities of the Miller-Ross-type Poisson distribution series, to belong to certain subclasses of analytic and univalent functions. Furthermore, we consider an integral operator related to the Miller-Ross type Poisson distribution series.On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces
https://scma.maragheh.ac.ir/article_255178.html
In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, $\lambda$-statistical convergence, and lacunary statistical convergence. We investigate a few fundamental properties of the newly introduced notion. Finally, we introduce the concept of deferred statistical Cauchy sequence and show that deferred statistical Cauchy sequences are equivalent to deferred statistical convergent sequences in the neutrosophic normed spaces.Automatic Continuity of Almost $n$-Multiplicative Linear Functionals
https://scma.maragheh.ac.ir/article_255180.html
We generalize a theorem due to Jarosz, by proving that every almost $n$-multiplicative linear functional on Banach algebra $A$ is automatically continuous. The relation between almost multiplicative and almost $n$-multiplicative linear functional on Banach algebra $A$ is also investigated. Additionally, for commutative Banach algebra $A$, we prove that every almost Jordan homomorphism $\varphi:A\longrightarrow \mathbb{C}$ is an almost $n$-Jordan homomorphism.Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$
https://scma.maragheh.ac.ir/article_696650.html
In this paper, some conditions have been improved so that the function $g(z)$ is defined as $g(z)=1+\sum_{k\ge 2}^{\infty}a_{n+k}z^{n+k}$, which is analytic in unit disk $U$, can be in more specific subclasses of the $S$ class, which is the most fundamental type of univalent function. It is analyzed some characteristics of starlike and convex functions of order $2^{-r}$.Optimal Common Fixed Point Results in Complete Metric Spaces with w-distance
https://scma.maragheh.ac.ir/article_696649.html
In this article, we will study the existence and uniqueness of optimal common fixed points for self-mappings in metric spaces with w-distance. We obtain generalizations of the Kocev and Rako\v{c}evi\'{c} fixed point theorems. The obtained results do not require the continuity or the condition $(C;k)$ of maps, &nbsp;but require the weaker condition $(W)$. We also improve some of our results when the metric space is equipped with a w$_0$-distance. In this way, we get new existence results for non-cyclic quasi-contraction mappings of the Fisher type.On Some Properties of Log-Harmonic Functions Product
https://scma.maragheh.ac.ir/article_696730.html
In this paper we define a new subclass $S_{LH}(k, \gamma; \varphi)$ of log-harmonic mappings, and then basic properties such as dilations, convexity on one direction and convexity of log functions of convex- exponent product of elements of that class are discussed. Also we find sufficient conditions on $\beta$ such that $f\in S_{LH}(k, \gamma; \varphi)$ leads to $F(z)=f(z)|f(z)|^{2\beta}\in S_{LH}(k, \gamma, \varphi)$. Our results generalize the analogues of the earlier works in the combinations of harmonic functions.A Note on Certain Classes of Retro Banach Frames
https://scma.maragheh.ac.ir/article_696756.html
A new class of retro Banach frames called retro bi-Banach frame has been introduced and studied with illustrative examples. Relationships of a retro bi-Banach frame with various existing classes of Banach frame are presented. In the sequel, we deal with characterizations of the near-exact retro Banach frame and discuss the invariance of near-exact retro Banach frames under block perturbation. Finally, applications regarding the rank of a matrix and eigenvalue problems have been demonstrated.Bounds for the Operator Norm on Weighted Cesaro Fractional Difference Sequence Spaces
https://scma.maragheh.ac.ir/article_697061.html
In this paper, we determine the upper and lower bounds for the norm of lower triangular matrix operators on Ces\`{a}ro weighted $(p,v)-$fractional difference sequence spaces of modulus functions. We consider the matrix operators acting between $\ell_{p}(w)$ and $C_{p}(v,\omega,\\\Delta^{(\eta,\ell)},\mathcal{F})$ and identify their bounds and vice-versa. We also investigate the same characteristics for N\"{o}rlund and weighted mean matrix operators.On Intuitionistic Fuzzy Metric Space and Ideal Convergence of Triple Sequence Space
https://scma.maragheh.ac.ir/article_697063.html
The purpose of this article is to introduce the triple sequences and its convergence over instuitionistic fuzzy metric space (\textbf{IFMS}). The article also discusses ideal convergence of triple sequences, the uniqueness of ideal limits, the relationship between Pringsheim's limit and ideal limits, the ideal Cauchy sequences, and various specific spaces of triple sequences with respect to IFMS.Legendre Superconvergent Degenerate Kernel and Nystrom Methods for Fredholm Integral Equations
https://scma.maragheh.ac.ir/article_697066.html
In this paper, polynomial-based superconvergent degenerate kernel and {Nystr&ouml;m} methods for solving {Fredholm} integral equations of the second kind with &nbsp;the smooth kernel are studied. By using an interpolatory projection based on Legendre polynomials of degree $\leq n,$ we analyze the convergence of these methods and we establish superconvergence results for their iterated versions. Two numerical examples are given to illustrate the theoretical estimates.Pseudosymmetric Spaces as Generalization of Symmetric spaces
https://scma.maragheh.ac.ir/article_697067.html
In this paper, the concept of a pseudosymmetric space which is a natural generalization of the concept of a symmetric space is defined. All basic concepts such as the Luxemburg representation theorem, the Boyd indices, the fundamental function and its properties, Calderon's theorem, etc., is transferred over the pseudosymmetric case. Examples are given for pseudosymmetric spaces. The quasi-symmetric spaces expand the scope of the application of symmetric space results.Analytical-Numerical Solution for a Third Order Space-time Conformable Fractional PDE with Mixed Derivative by Spectral and Asymptotic Methods
https://scma.maragheh.ac.ir/article_697483.html
Initial-boundary value problems including space-time fractional PDEs have been used to model a wide range of problems in physics and engineering fields. In this paper, a non-self adjoint initial boundary value problem containing a third order fractional differential equation is considered. First, a spectral problem for this problem is presented. Then the eigenvalues and eigenfunctions of the main spectral problem are calculated. In order to calculate the roots of their characteristic equation, the asymptotic expansion of the roots is used. Finally, by suitable choice of these asymptotic expansions, related eigenfunctions and Mittag-Lefler functions, the analytic and numerical solutions to the main initial-boundary value problem are given.The Krasnoselskii's Method for Real Differentiable Functions
https://scma.maragheh.ac.ir/article_697940.html
We study the convergence of the Krasnoselskii sequence $x_{n+1}=\frac{x_n+g(x_n)}{2}$ for non-self mappings on closed intervals. We show that if $g$ satisfies $g^{'}\ge -1$ along with some other conditions, this sequence converges to a fixed point of $g$. We extend this fixed-point result to a novel and efficient root-finding method. We present concrete examples at the end. In these examples, we make a comparison between Newton-Raphson and our method. These examples also reveal how our method can be applied efficiently to find the fixed points of a real-valued function.Error Function and Certain Subclasses of Analytic Univalent Functions
https://scma.maragheh.ac.ir/article_697941.html
In the present investigation, our main aim is to introduce a certain subclass of analytic univalent functions related to the Error function. We discuss the implications of our main results, including the coefficient bound, extreme points, weighted mean, convolution, convexity, and radii properties, &nbsp;as well as any other related properties.