2021-10-20T22:19:27Z
https://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=6132
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
1
Caristi Type Cyclic Contraction and Coupled Fixed Point Results in Bipolar Metric Spaces
Gagula Naveen Venkata
Kishore
Bagathi
Srinuvasa Rao
Stojan
Radenovic
Huaping
Huang
In this paper, we establish the existence of common coupled fixed point results for new Caristi type contraction of three covariant mappings in Bipolar metric spaces. Some interesting consequences of our results are achieved. Moreover, we give an illustration which presents the applicability of the achieved results.
Bipolar metric space
Compatible mappings
Coupled fixed point
Common fixed point
2020
01
01
1
22
https://scma.maragheh.ac.ir/article_36736_824af8900579b930f3348c42ac9de92d.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
1
A Version of Favard's Inequality for the Sugeno Integral
Bayaz
Daraby
Hassan
Ghazanfary Asll
IldarI
Sadeqi
In this paper, we present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,\Sigma,\mu)$, where $\mu$ is the Lebesgue measure. We consider two cases, when our function is concave and when is convex. In addition for illustration of theorems, several examples are given.
Favard's inequality
Sugeno integral
Fuzzy measure
Fuzzy integral inequality
2020
01
01
23
37
https://scma.maragheh.ac.ir/article_38119_5654c1b9174f9fe4f8c78f32a15f6c48.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
1
Continuous $k$-Fusion Frames in Hilbert Spaces
Vahid
Sadri
Reza
Ahmadi
Mohammad
Jafarizadeh
Susan
Nami
The study of the c$k$-fusions frames shows that the emphasis on the measure spaces introduces a new idea, although some similar properties with the discrete case are raised. Moreover, due to the nature of measure spaces, we have to use new techniques for new results. Especially, the topic of the dual of frames which is important for frame applications, have been specified completely for the continuous frames. After improving and extending the concept of fusion frames and continuous frames, in this paper we introduce continuous $k$-fusion frames in Hilbert spaces. Similarly to the c-fusion frames, dual of continuous $k$-fusion frames may not be defined, we however define the $Q$-dual of continuous $k$-fusion frames. Also some new results and the perturbation of continuous $k$-fusion frames will be presented.
Fusion frame
$k$-fusion frame
c$k$-fusion frame
Q-duality
2020
01
01
39
55
https://scma.maragheh.ac.ir/article_36737_f74af2ceb97b56960df44e5c8826e4a5.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
1
On $F$-Weak Contraction of Generalized Multivalued Integral Type Mappings with $alpha $-admissible
Vatan
Karakaya
Necip
Şimşek
Derya
Sekman
The purpose of this work is to investigate the existence of fixed points of some mappings in fixed point theory by combining some important concepts which are F-weak contractions, multivalued mappings, integral transformations and α-admissible mappings. In fixed point theory, it is important to find fixed points of some classess under F- or F-weak contractions. Also multivalued mappings is the other important classes. Along with that, α-admissible mapping is a different approach in the fixed point theory. According to this method, a single or multivalued mapping does not have a fixed point in general. But, under some restriction on the mapping, a fixed point can be obtained. In this article, we combine four significant notions and also establish fixed point theorem for this mappings in complete metric spaces. Moreover, we give an example to show the interesting of our results according to earlier results in literature.
Fixed point theory
$alpha $-admissible mappings
Multivalued integral operators
$F$-weak contraction
2020
01
01
57
67
https://scma.maragheh.ac.ir/article_36969_422f3324a20e4977c2282de6a0fb9d68.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
1
On Approximate Solutions of the Generalized Radical Cubic Functional Equation in Quasi-$beta$-Banach Spaces
Prondanai
Kaskasem
Aekarach
Janchada
Chakkrid
Klin-eam
In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the generalized radical cubic functional equation\[ f\left( \sqrt[3]{ax^3 + by^3}\right)=af(x) + bf(y),\] where $a,b \in \mathbb{R}_+$ are fixed positive real numbers, by using direct method in quasi-$\beta$-Banach spaces. Moreover, we use subadditive functions to investigate stability of the generalized radical cubic functional equations in $(\beta,p)$-Banach spaces.
Hyers-Ulam-Rassias stability
radical cubic functional equation
quasi-$beta$-normed spaces
subadditive function
2020
01
01
69
90
https://scma.maragheh.ac.ir/article_37191_23668c1e86441667a12fea82395eabf1.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
1
A Common Fixed Point Theorem Using an Iterative Method
Ali
Bagheri Vakilabad
Let $ H$ be a Hilbert space and $C$ be a closed, convex and nonempty subset of $H$. Let $T:C \rightarrow H$ be a non-self and non-expansive mapping. V. Colao and G. Marino with particular choice of the sequence $\{\alpha_{n}\}$ in Krasonselskii-Mann algorithm, ${x}_{n+1}={\alpha}_{n}{x}_{n}+(1-{\alpha}_{n})T({x}_{n}),$ proved both weak and strong converging results. In this paper, we generalize their algorithm and result, imposing some conditions upon the set $C$ and finite many mappings from $C$ in to $H$, to obtain a converging sequence to a common fixed point for these non-self and non-expansive mappings.
Hilbert space
Nonexpansive mapping
Krasnoselskii-Mann iterative method
Inward condition
2020
01
01
91
98
https://scma.maragheh.ac.ir/article_37370_23b71732cb85f46fa137d11f68350735.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
1
About One Sweep Algorithm for Solving Linear-Quadratic Optimization Problem with Unseparated Two-Point Boundary Conditions
Fikret
A. Aliev
Mutallim
M. Mutallimov
Ilkin
A. Maharramov
Nargiz
Sh. Huseynova
Leyla
I. Amirova
In the paper a linear-quadratic optimization problem (LCTOR) with unseparated two-point boundary conditions is considered. To solve this problem is proposed a new sweep algorithm which increases doubles the dimension of the original system. In contrast to the well-known methods, here it refuses to solve linear matrix and nonlinear Riccati equations, since the solution of such multi-point optimization problems encounters serious difficulties in passing through nodal points. The results are illustrated with a specific numerical example.
Sweep Algorithm
Optimization
unseparated two-point boundary conditions
Riccati equations
2020
01
01
99
107
https://scma.maragheh.ac.ir/article_37833_54d6126205a68ce8ec09a67f2f92ea24.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
1
Estimates of Norm and Essential norm of Differences of Differentiation Composition Operators on Weighted Bloch Spaces
Mostafa
Hassanloo
Norm and essential norm of differences of differentiation composition operators between Bloch spaces have been estimated in this paper. As a result, we find characterizations for boundedness and compactness of these operators.
Differentiation composition operators
Weighted Bloch spaces
Essential norm
2020
01
01
109
124
https://scma.maragheh.ac.ir/article_37200_d3489951611926ddb21b589b0f75ec2e.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
1
On Preserving Properties of Linear Maps on $C^{*}$-algebras
Fatemeh
Golfarshchi
Ali Asghar
Khalilzadeh
Let $A$ and $B$ be two unital $C^{*}$-algebras and $\varphi:A \rightarrow B$ be a linear map. In this paper, we investigate the structure of linear maps between two $C^{*}$-algebras that preserve a certain property or relation. In particular, we show that if $\varphi$ is unital, $B$ is commutative and $V(\varphi(a)^{*}\varphi(b))\subseteq V(a^{*}b)$ for all $a,b\in A$, then $\varphi$ is a $*$-homomorphism. It is also shown that if $\varphi(|ab|)=|\varphi(a)\varphi(b)|$ for all $a,b\in A$, then $\varphi$ is a unital $*$-homomorphism.
Absolute value preserving
$*$-homomorphism
Unitary preserving
numerical range
2020
01
01
125
137
https://scma.maragheh.ac.ir/article_37336_c7070f356e0ff49cbe395cf74a73eedd.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
1
An Example of Data Dependence Result for The Class of Almost Contraction Mappings
Yunus
Atalan
Vatan
Karakaya
In the present paper, we show that $S^*$ iteration method can be used to approximate fixed point of almost contraction mappings. Furthermore, we prove that this iteration method is equivalent to CR iteration method and it produces a slow convergence rate compared to the CR iteration method for the class of almost contraction mappings. We also present table and graphic to support this result. Finally, we obtain a data dependence result for almost contraction mappings by using $S^*$ iteration method and in order to show validity of this result we give an example.
Iteration Methods
Convergence analysis
Data dependence
Almost contraction mappings
2020
01
01
139
155
https://scma.maragheh.ac.ir/article_37337_a41ff9c0bfe26b1c38ca2dc551410b9c.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
1
On Sum and Stability of Continuous $G$-Frames
Azam
Yousefzadeheyni
Mohammad Reza
Abdollahpour
In this paper, we give some conditions under which the finite sum of continuous $g$-frames is again a continuous $g$-frame. We give necessary and sufficient conditions for the continuous $g$-frames $\Lambda=\left\{\Lambda_w \in B\left(H,K_w\right): w\in \Omega\right\}$ and $\Gamma=\left\{\Gamma_w \in B\left(H,K_w\right): w\in \Omega\right\}$ and operators $U$ and $V$ on $H$ such that $\Lambda U+\Gamma V=\{\Lambda_w U+\Gamma_w V \in B\left(H,K_w\right): w\in \Omega\}$ is again a continuous $g$-frame. Moreover, we obtain some sufficient conditions under which the finite sum of continuous $g$-frames are stable under small perturbations.
Continuous $g$-frame
Parseval continuous $g$-frame
Continuous $g$-Bessel family
stability
2020
01
01
157
169
https://scma.maragheh.ac.ir/article_37340_62593c31158dad0ce79ce0e6381dd264.pdf