Results 11 to 20 of about 488,813 (304)
Approximate Best Proximity Pairs in Metric Space [PDF]
Abstract and Applied Analysis, 2011 Let A and B be nonempty subsets of a metric space X and also T:A∪B→A∪B and T(A)⊆B, T(B)⊆A. We are going to consider element x∈A such that d(x,Tx)≤d(A,B)+ϵ for some ϵ>0. We call pair (A,B) an approximate best proximity pair.
S. A. M. Mohsenalhosseini +2 more
doaj +6 more sources
Noncyclic Meir-Keeler contractions and best proximity pair theorems
Demonstratio Mathematica, 2018 In this article, we consider the class of noncyclic Meir-Keeler contractions and study the existence and convergence of best proximity pairs for such mappings in the setting of complete CAT(0) spaces.
Gabeleh Moosa, Markin Jack
doaj +3 more sources
Diameter Approximate Best Proximity Pair in Fuzzy Normed Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2019 The main purpose of this paper is to study the approximate best proximity pair of cyclic maps and their diameter in fuzzy normed spaces defined by Bag and Samanta.
Seyed Ali Mohammad Mohsenialhosseini +1 more
doaj +5 more sources
Best Proximity Pairs Theorems for Continuous Set-Valued Maps [PDF]
Fixed Point Theory and Applications, 2008 A best proximity pair for a set-valued map F:A⊸B with respect to a set-valued map G:A⊸A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces.
R. P. Agarwal +3 more
doaj +5 more sources
Convergence and Best Proximity Points for Generalized Contraction Pairs [PDF]
Mathematics, 2019 This paper is devoted to studying the existence of best proximity points and convergence for a class of generalized contraction pairs by using the concept of proximally-complete pairs and proximally-complete semi-sharp proximinal pairs.
Slah Sahmim +2 more
doaj +4 more sources
Strong and weak convergence of Ishikawa iterations for best proximity pairs [PDF]
Open Mathematics, 2020 Let A and B be nonempty subsets of a normed linear space X. A mapping T : A ∪ B → A ∪ B is said to be a noncyclic relatively nonexpansive mapping if T(A) ⊆ A, T(B) ⊆ B and ∥Tx − Ty∥ ≤ ∥x − y∥ for all (x, y) ∈ A × B.
Gabeleh Moosa +3 more
doaj +4 more sources
On best proximity pair theorems and fixed-point theorems [PDF]
Abstract and Applied Analysis, 2003 The significance of fixed‐point theory stems from the fact that it furnishes a unified approach and constitutes an important tool in solving equations which are not necessarily linear. On the other hand, if the fixed‐point equation Tx = x does not possess a solution, it is contemplated to resolve a problem of finding an element x such that x is in ...
P. S. Srinivasan, P. Veeramani
doaj +7 more sources
FilomatIn the setup of metric spaces, many recent studies established a significant variety of control type mappings and illustrated some fixed point results. To represent various contractivity conditions, Khojasteh et al.
P PaunovicMarija +2 more
semanticscholar +3 more sources
Best Proximity Sets and Equilibrium Pairs for a Finite Family of Multimaps [PDF]
Fixed Point Theory and Applications, 2009 We establish the existence of a best proximity pair for which the best proximity set is nonempty for a finite family of multimaps whose product is either an ð”„ðÂœκ-multimap or a multimap T:A→2B such that both T and S∘T are closed ...
Naseer Shahzad, M. A. Al-Thagafi
doaj +6 more sources
Corrigendum to the paper “Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings” [PDF]
Demonstratio Mathematica, 2021 The purpose of this short note is to present a correction of the proof of the main result given in the paper “Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings,” Demonstr.
Gabeleh Moosa
doaj +4 more sources