Results 21 to 30 of about 5,989,700 (306)
Best Proximity Points for Alternative Maps [PDF]
Symmetry, 2019 Let ( X , d ) be a metric space and Ω i , i = 1 , 2 , … , m , be a nonempty subset of ( X , d ) . An operator T : ∪ 1 ≤ i ≤ m Ω i → ∪ 1 ≤ i ≤ m Ω i is called an alternative map if T ( Ω j ) ⊆ ∪ i ≠ j Ω i , j = 1 , 2 , … , m . In addition, if for any x, y ∈ ∪ 1 ≤ i ≤ m Ω i , there exists a constant α ∈ [ 0 , 1 ) such that d ( T x , T y ) ≤ α d ( x , y )
Yi Chou
exaly +2 more sources
Approximation of Fixed Points and Best Proximity Points of Relatively Nonexpansive Mappings
Journal of Mathematics, 2020 In this article, we study the Agarwal iterative process for finding fixed points and best proximity points of relatively nonexpansive mappings. Using the Von Neumann sequence, we establish the convergence result in a Hilbert space framework. We present a
Thabet Abdeljawad +4 more
doaj +2 more sources
Best proximity and best periodic points for proximal nonunique contractions
Journal of Fixed Point Theory and Applications, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hakan Sahin +2 more
openaire +4 more sources
On the Best Proximity Points for p–Cyclic Summing Contractions
Mathematics, 2020 We present a condition that guarantees the existence and uniqueness of fixed (or best proximity) points in complete metric space (or uniformly convex Banach spaces) for a wide class of cyclic maps, called p–cyclic summing maps.
Miroslav Hristov +2 more
doaj +2 more sources
Common Best Proximity Points for Cyclic φ-Contraction Maps [PDF]
International Journal of Analysis and Applications, 2016 The purpose of this paper is to introduce new types of contraction condition for a pair of maps $(S,T)$ in metric spaces. We give convergence and existence results of best proximity points of such maps in the setting of uniformly convex Banach spaces ...
M. Ahmadi Baseri +2 more
doaj +3 more sources
On Best Proximity Points in Metric and Banach Spaces [PDF]
Canadian Journal of Mathematics, 2011 Abstract In this paper we study the existence and uniqueness of best proximity points of cyclic contractions as well as the convergence of iterates to such proximity points. We take two different approaches, each one leading to different results that complete, if not improve, other similar results in the theory.
Espínola García, Rafael +1 more
openaire +6 more sources
Best Proximity Points of Relatively Jaggi Nonexpansive Mappings in Busemann Convex Spaces
Journal of Function SpacesIn this paper, we introduce cyclic (noncyclic) relatively Jaggi nonexpansive mappings on Busemann convex spaces and investigate the existence of their best proximity points (pairs).
M. Gabeleh +2 more
doaj +2 more sources
Condensing Mappings and Best Proximity Point Results
Journal of Mathematics, 2021 Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing mappings.
Sarah O. Alshehri +2 more
openaire +3 more sources
Iterative Approximation of Best Proximity Points of M-T Cyclic Contraction Mappings
مجلة بغداد للعلومIn many instances, acquiring a solution for an operator equation by using conventional analytical techniques, even after it has been shown that such a solution exists. One has to know the approximate value of this solution to solve situations like these.
Raghad I. Sabri, Buthainah A. A. Ahmed
doaj +2 more sources
Mathematics, 2017 The main objective of this paper is to deal with some properties of interest in two types of fuzzy ordered proximal contractions of cyclic self-mappings T integrated in a pair ( g , T ) of mappings.
Manuel De la Sen +2 more
doaj +3 more sources