Results 31 to 40 of about 5,989,700 (306)
KKM-type theorems for best proximity points
Applied Mathematics Letters, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. Sankar Raj, S. Somasundaram
exaly +4 more sources
Best proximity points in graphical vector metric spaces and its consequences
Applied General TopologyRegarding the vector metric space introduced by Cevik and Altun, we first introduce the concept of a graphical vector metric space and then define several topological notions therein such as $\mathfrak{X}$-Dedekind complete Riesz spaces, vectorially ...
Kamal Fallahi +2 more
doaj +2 more sources
Best Proximity Points for a New Class of Generalized Proximal Mappings [PDF]
International Journal of Analysis and Applications, 2017 The best proximity points are usually used to find the optimal approximate solution of the operator equation Tx = x, when T has no fixed point. In this paper, we prove some best proximity point theorems for nonself multivalued operators, following the ...
Tayyab Kamran +4 more
doaj +3 more sources
Proximally Compatible Mappings and Common Best Proximity Points [PDF]
Symmetry, 2020 The purpose of this paper is to introduce and analyze a new idea of proximally compatible mappings and we extend some results of Jungck via proximally compatible mappings. Furthermore, we obtain common best proximity point theorems for proximally compatible mappings through two different ways of construction of sequences.
V. Pragadeeswarar +3 more
openaire +3 more sources
Best Proximity Point Results for MK‐Proximal Contractions [PDF]
Abstract and Applied Analysis, 2012 Let A and B be nonempty subsets of a metric space with the distance function d, and T : A → B is a given non‐self‐mapping. The purpose of this paper is to solve the nonlinear programming problem that consists in minimizing the real‐valued function x ↦ d(x, Tx), where T belongs to a new class of contractive mappings.
Jleli, Mohamed +2 more
openaire +3 more sources
On Proximal contractions via implicit relations and Best proximity points [PDF]
Miskolc Mathematical Notes, 2021 In this paper, we employ two types of implicit relations to define some new kind of proximal contractions and study about their best proximity points. More precisely, we use two class of functions $\mathcal{A}$ and $\mathcal{A}'$ to explore proximal $\mathcal{A}$, $\mathcal{A}'$-contractions of first and second type and strong proximal $\mathcal{A}$, $\
Mondal, Pratikshan +2 more
openaire +3 more sources
Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators [PDF]
Arab Journal of Mathematical Sciences, 2020 The purpose of this paper is to study the coupled fixed point problem and the coupled best proximity problem for single-valued and multi-valued contraction type operators defined on cyclic representations of the space.
Adrian Magdaş
doaj +1 more source
Best proximity points for Geraghty’s proximal contraction mappings [PDF]
Fixed Point Theory and Applications, 2013 Abstract In this paper, we generalized the notion of proximal contractions of the first and second kinds by using Geraghty’s theorem and establish best proximity point theorems for proximal contractions. Our results improve and extend the recent results of Sadiq Basha and some others. MSC:47H09, 47H10.
Chirasak Mongkolkeha +2 more
openaire +1 more source
EXISTENCE OF BEST PROXIMITY POINTS SATISFYING TWO CONSTRAINT INEQUALITIES
, 2020 In this paper, we prove the existence of best proximity point and coupled best proximity point on metric spaces with partial order for weak proximal contraction mappings such that these critical points satisfy some constraint ...
Ozgur Ege +9 more
core +2 more sources
Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 In this article, we find a priori and a posteriori error estimates of the fixed point for the Picard iteration associated with a noncyclic contraction map, which is defined on a uniformly convex Banach space with a modulus of convexity of power type.
A. Safari-Hafshejani
doaj +1 more source