Existence and uniqueness of best proximity points for generalized almost contractions
type: Item
instance of: scholarly article
title: Existence and uniqueness of best proximity points for generalized almost contractions
zbMATH Open document ID: 1469.54159
DOI: 10.1155/2014/813614
author: Chirasak Mongkolkeha
author: Chayut Kongban
author: Poom Kumam
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The purpose of this paper is to elicit some interesting extensions of generalized almost contraction mappings to the case of non-self-mappings with \(\alpha\)-proximal admissible and prove best proximity point theorems for this classes. Moreover, we also give some examples and applications to support our main results.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 7023127
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/813614
OpenAlex ID: W2071072899
Wikidata QID: Q59041728
cites work: Extensions of two fixed point theorems of F. E. Browder
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: A theorem on best approximations
cites work: Best proximity points for \(\alpha\)-\(\psi\)-proximal contractive type mappings and applications
cites work: The existence theorems of an optimal approximate solution for generalized proximal contraction mappings
cites work: Best proximity point theorems for generalized cyclic contractions in ordered metric spaces
cites work: Some common best proximity points for proximity commuting mappings
cites work: Coupled best proximity point theorem in metric spaces
cites work: Best proximity point theorems for \(p\)-cyclic Meir--Keeler contractions
cites work: Best proximity pair theorems
cites work: A best proximity point theorem for weakly contractive non-self-mappings
cites work: A best proximity point theorem for Suzuki type contraction non-self-mappings
cites work: Best proximity point theorems for non-self mappings
cites work: Some results on best proximity points
cites work: Best proximity points for generalized \(\alpha-\psi\)-proximal contractive type mappings
cites work: Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
cites work: Best proximity pair theorems for multifunctions with open fibres
cites work: Global optimal solutions of noncyclic mappings in metric spaces
description: scientific article; zbMATH DE number 7023127