On best proximity points for set-valued contractions of Nadler type with respect to \(b\)-generalized pseudodistances in \(b\)-metric spaces
type: Item
instance of: scholarly article
title: On best proximity points for set-valued contractions of Nadler type with respect to \(b\)-generalized pseudodistances in \(b\)-metric spaces
zbMATH Open document ID: 1333.54048
DOI: 10.1186/1687-1812-2014-39
published in: Fixed Point Theory and Applications
publication date: 2015-03-20T00:00:00Z
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 54E40
Mathematics Subject Classification ID: 54E35
Mathematics Subject Classification ID: 54E30
zbMATH DE Number: 6417857
zbMATH Keywords: \(b\)-metric spaces
zbMATH Keywords: \(b\)-generalized pseudodistances
zbMATH Keywords: global optimal minimum
zbMATH Keywords: best proximity points
zbMATH Keywords: Nadler contraction
zbMATH Keywords: set-valued maps
author: Robert Plebaniak
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1812-2014-39
OpenAlex ID: W2117731346
Wikidata QID: Q59398505
cites work: Multi-valued contraction mappings
cites work: Best proximity points for asymptotic cyclic contraction mappings
cites work: Generalized cyclic contractions in partially ordered metric spaces
cites work: Global optimal solutions of noncyclic mappings in metric spaces
cites work: Convergence and existence results for best proximity points
cites work: The existence of best proximity points in metric spaces with the property UC
cites work: Best proximity points for cyclic Meir-Keeler contractions
cites work: A best proximity point theorem for weakly contractive non-self-mappings
cites work: Best proximity points of cyclic \(\varphi\)-contractions in ordered metric spaces
cites work: Best proximity points: Global optimal approximate solutions
cites work: Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
cites work: The existence of best proximity points for multivalued non-self-mappings
cites work: Q5722776
cites work: Q4225413
cites work: Q4366427
cites work: Multivalued fractals in \(b\)-metric spaces
cites work: Q3086033
cites work: Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear terms
cites work: Q4359066
cites work: Generalized distance and existence theorems in complete metric spaces
cites work: Ekeland's variational principle, minimax theorems and existence of nonconvex equilibria in complete metric spaces
cites work: A general maximality principle and a fixed point theorem in uniform space
cites work: New generalized pseudodistance and coincidence point theorem in a \(b\)-metric space
cites work: Q3220809
description: scientific article; zbMATH DE number 6417857