Best proximity points for proximal contractive type mappings with \(C\)-class functions in \(S\)-metric spaces
type: Item
instance of: scholarly article
title: Best proximity points for proximal contractive type mappings with \(C\)-class functions in \(S\)-metric spaces
zbMATH Open document ID: 1462.54040
author: Arslan Hojat Ansari
author: Jamnian Nantadilok
published in: Fixed Point Theory and Applications
publication date: 2018-01-29T00:00:00Z
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 6830299
zbMATH Keywords: fixed points
zbMATH Keywords: proximity points
zbMATH Keywords: \(G\)-metric space
zbMATH Keywords: \(S\)-metric space
zbMATH Keywords: \(B\)-metric space
zbMATH Keywords: proximal contractive mapping
zbMATH Keywords: \(C\)-class function
MaRDI profile type: Publication
full work available at URL: s13663-017-0606-z
OpenAlex ID: W2625035904
Wikidata QID: Q59516078
cites work: Extensions of two fixed point theorems of F. E. Browder
cites work: Q4220449
cites work: The Prox map
cites work: Proximal maps, prox maps and coincidence points
cites work: Fixed-point theorems for set-valued mappings and existence of best approximants
cites work: Approximate selections, best approximations, fixed points, and invariant sets
cites work: A Generalization to Multifunctions of Fan's Best Approximation Theorem
cites work: Best proximity points for cyclic mappings in ordered metric spaces
cites work: Best proximity pairs and equilibrium pairs for Kakutani multimaps
cites work: Convergence and existence results for best proximity points
cites work: Best proximity points for cyclic Meir-Keeler contractions
cites work: Existence and convergence of best proximity points
cites work: Best proximity points of cyclic mappings
cites work: Best proximity points of Kannan type cyclic weak \(\phi\)-contractions in ordered metric spaces
cites work: A best proximity point theorem for weakly contractive non-self-mappings
cites work: Extensions of Banach's Contraction Principle
cites work: Best proximity point theorems generalizing the contraction principle
cites work: Best proximity point theorems: an exploration of a common solution to approximation and optimization problems
cites work: Best proximity points: convergence and existence theorems for \(p\)-cyclic mappings
cites work: Q3410667
cites work: Best proximity points for proximal generalized contractions in metric spaces
cites work: Best proximity point results for generalized contractions in metric spaces
cites work: Some fixed point results in \(GP\)-metric spaces
cites work: Fixed point results for \(G^m\)-Meir-Keeler contractive and \(G\)-\(({\alpha},{\psi})\)-Meir-Keeler contractive mappings
cites work: Some coincidence point results for generalized (\({\psi,\varphi}\))-weakly contractive mappings in ordered \(G\)-metric spaces
cites work: Some new extensions of Edelstein-Suzuki-type fixed point theorem to \(G\)-metric and \(G\)-cone metric spaces
cites work: Q5177813
cites work: On generalized weakly \(G\)-contractive mappings in partially ordered \(G\)-metric spaces
cites work: A common fixed point theorem in \(D^{*}\)-metric spaces
cites work: Q3525315
cites work: Q5286518
cites work: A generalization of fixed point theorems in \(S\)-metric spaces
cites work: C -class functions and fixed point theorems for generalized α−η−ψ−φ−F− contraction type mappings in α−η− complete metric spaces
cites work: Q3466008
cites work: Q3983330
cites work: Q2969200
cites work: Fixed point theorems by altering distances between the points
DOI: 10.1186/S13663-017-0606-Z
description: scientific article; zbMATH DE number 6830299