2023-06-05T21:54:47Z
https://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=6456
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
2
A New Iterative Algorithm for Multivalued Nonexpansive Mappping and Equlibruim Problems with Applications
Thierno Mohadamane Mansour
Sow
In this paper, we introduce two iterative schemes by a modified Krasnoselskii-Mann algorithm for finding a common element of the set of solutions of equilibrium problems and the set of fixed points of multivalued nonexpansive mappings in Hilbert space. We prove that the sequence generated by the proposed method converges strongly to a common element of the set of solutions of equilibruim problems and the set of fixed points of multivalued nonexpansive mappings which is also the minimum-norm element of the above two sets. Finally, some applications of our results to optimization problems with constraint and the split feasibility problem are given. No compactness assumption is made. The methods in the paper are novel and different from those in early and recent literature.
Multivalued mappings
Equilibrium problems
Iterative methods
Applications
2020
06
01
1
22
https://scma.maragheh.ac.ir/article_37371_8562efa14f6c3cc3f1a5bef0e2759b6b.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
2
Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions
Mensur
Yalcin
Hakan
Simsek
Ishak
Altun
In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the quasi metric does not provide the symmetry property. Finally, we show that our main results includes many fixed point theorems presented on both complete metric and complete quasi metric spaces in the literature. We also provide an illustrative example to show importance of our results.
Quasi metric space
left $K$-Cauchy sequence
left $mathcal{K}$-completeness
Fixed point
2020
06
01
23
36
https://scma.maragheh.ac.ir/article_37373_aad63a7ac585d04a6ecd958a0f67b051.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
2
Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations
Hasan
Hosseinzadeh
Let $\mathcal{X}$ be a partially ordered set and $d$ be a generalized metric on $\mathcal{X}$. We obtain some results in coupled and coupled coincidence of $g$-monotone functions on $\mathcal{X}$, where $g$ is a function from $\mathcal{X}$ into itself. Moreover, we show that a nonexpansive mapping on a partially ordered Hilbert space has a fixed point lying in the unit ball of the Hilbert space. Some applications for linear and nonlinear matrix equations are given.
Fixed points
Coupled fixed point
Coupled coincidence fixed Point
Generalized metric
2020
06
01
37
53
https://scma.maragheh.ac.ir/article_37410_66eea9cbee3a9a5ccfbce5ff9cbcd2b5.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
2
Some Results on the Field of Values of Matrix Polynomials
Zahra
Boor Boor Azimi
Gholamreza
Aghamollaei
In this paper, the notions of pseudofield of values and joint pseudofield of values of matrix polynomials are introduced and some of their algebraic and geometrical properties are studied. Moreover, the relationship between the pseudofield of values of a matrix polynomial and the pseudofield of values of its companion linearization is stated, and then some properties of the augmented field of values of basic A-factor block circulant matrices are investigated.
Field of values
Perturbation
Matrix polynomial
companion linearization
Basic $A-$factor block circulant matrix
2020
06
01
55
68
https://scma.maragheh.ac.ir/article_37411_dde7ec5ae03c9208d9ee594fab1f00a2.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
2
Vector Optimization Problems and Generalized Vector Variational-Like Inequalities
Ildar
Sadeqi
Somayeh
Nadi
In this paper, some properties of pseudoinvex functions, defined by means of limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality, the Stampacchia vector variational-like inequality, and the weak formulations of these two inequalities defined by means of limiting subdifferential are studied. Moreover, some relationships between the vector variational-like inequalities and vector optimization problems are established.
Nonsmooth functions
Limiting subdifferential
Pseudoinvex functions
Vector variational-like inequalities
Vector optimization problems
2020
06
01
69
82
https://scma.maragheh.ac.ir/article_37712_21815133c068c44f4de658d87ac91628.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
2
Common Fixed Point Results on Complex-Valued $S$-Metric Spaces
Nihal
Taş
Nihal
Yilmaz Ozgur
Banach's contraction principle has been improved and extensively studied on several generalized metric spaces. Recently, complex-valued $S$-metric spaces have been introduced and studied for this purpose. In this paper, we investigate some generalized fixed point results on a complete complex valued $S$-metric space. To do this, we prove some common fixed point (resp. fixed point) theorems using different techniques by means of new generalized contractive conditions and the notion of the closed ball. Our results generalize and improve some known fixed point results. We provide some illustrative examples to show the validity of our definitions and fixedpoint theorems.
$S$-metric space
Fixed point theorem
Common fixed point theorem
Complex valued $S$-metric space
2020
06
01
83
105
https://scma.maragheh.ac.ir/article_37412_e477c6d8dffcdb074632c412bdb687c1.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
2
On the Monotone Mappings in CAT(0) Spaces
Davood
Afkhami Taba
Hossein
Dehghan
In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.Then, we give two new iterative methods by combining the resolvent method with Halpern's iterative method and viscosity approximation method for finding a fixed point of monotone mappings and a solution of variational inequalities. We prove convergence theorems of the proposed iterations in CAT(0) metric spaces.
Monotone mapping
Nonexpansive mapping
Variational inequality
Fixed point
CAT(0) metric space
2020
06
01
107
117
https://scma.maragheh.ac.ir/article_37414_68347178e93bdca436046052192cf88e.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
2
Best Proximity Point Results for Almost Contraction and Application to Nonlinear Differential Equation
Azhar
Hussain
Mujahid
Abbas
Muhammad
Adeel
Tanzeela
Kanwal
Berinde [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum {\bf 9} (2004), 43-53] introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost $\Theta$- contraction mappings andto prove some best proximity point results for this new class of mappings. As applications, best proximity point and fixed point results for weak single valued $\Theta$-contraction mappings are obtained. Moreover, we give an example to support the results presented herein. An application to a nonlinear differential equation is also provided.
Almost contraction
$Theta$-contraction
best proximity points
differential equation
2020
06
01
119
138
https://scma.maragheh.ac.ir/article_38391_5cea07e80507a72f15663157ce9b5ec2.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
2
Inequalities of Ando's Type for $n$-convex Functions
Rozarija
Mikic
Josip
Pečarić
By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribari\v c inequality for solidarities that hold for a class of $n$-convex functions. As an application, main results are applied to some operator means and relative operator entropy.
Solidarities
Ando's inequality
Edmundson-Lah-Ribariv c inequality
$n$-convex functions
Operator means
2020
06
01
139
159
https://scma.maragheh.ac.ir/article_37469_f2353c2142d6389e80c0e9841406ce3f.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
2
New Generalization of Darbo's Fixed Point Theorem via $\alpha$-admissible Simulation Functions with Application
Hossein
Monfared
Mehdi
Asadi
Ali
Farajzadeh
In this paper, at first, we introduce $\alpha_{\mu}$-admissible, $Z_\mu$-contraction and $N_{\mu}$-contraction via simulation functions. We prove some new fixed point theorems for defined class of contractions via $\alpha$-admissible simulation mappings, as well. Our results can be viewed as extension of the corresponding results in this area. Moreover, some examples and an application to functional integral equations are given to support the obtained results.
Measure of non-compactness
Simulation functions
$alpha$-admissible mappings
Fixed point
2020
06
01
161
171
https://scma.maragheh.ac.ir/article_37836_ebd5fb7f6d8fb30eaa38020d459af69d.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
2
Bornological Completion of Locally Convex Cones
Davood
Ayaseh
Asghar
Ranjbari
In this paper, firstly, we obtain some new results about bornological convergence in locally convex cones (which was studied in [1]) and then we introduce the concept of bornological completion for locally convex cones. Also, we prove that the completion of a bornological locally convex cone is bornological. We illustrate the main result by an example.
Locally convex cones
Bornological convergence
Bornological cones
Bornological completion
2020
06
01
173
183
https://scma.maragheh.ac.ir/article_39051_31fe870e6a837c4f5f9a112e82686fa3.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2020
17
2
Generalized Continuous Frames for Operators
Chander
.Shekhar
Sunayana
Bhati
G.S.
Rathore
In this note, the notion of generalized continuous K- frame in a Hilbert space is defined. Examples have been given to exhibit the existence of generalized continuous $K$-frames. A necessary and sufficient condition for the existence of a generalized continuous $K$-frame in terms of its frame operator is obtained and a characterization of a generalized continuous $K$-frame for $ \mathcal{H} $ with respect to $ \mu $ is given. Also, a sufficient condition for a generalized continuous $K$-frame is given. Further, among other results, we prove that generalized continuous $K$-frames are invariant under a linear homeomorphism. Finally, keeping in mind the importance of perturbation theory in various branches of applied mathematics, we study perturbation of $K$-frames and obtain conditions for the stability of generalized continuous $K$-frames.
Frames
K-frames
Continuous frames
2020
06
01
185
201
https://scma.maragheh.ac.ir/article_37409_fa26e1468b04482563c581f767572d35.pdf