A best proximity point theorem for generalized non-self-Kannan-type and Chatterjea-type mappings and Lipschitzian mappings in complete metric spaces

DOI10.1155/2016/9321082zbMath1351.54034OpenAlexW2464908321WikidataQ59126598 ScholiaQ59126598MaRDI QIDQ530261

Kasamsuk Ungchittrakool

Publication date: 29 July 2016

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/9321082

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (4)

Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A best proximity point theorem for Roger-Hardy type generalized \(F\)-contractive mappings in complete metric spaces with some examples

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On cyclic Meir-Keeler contractions in metric spaces
• Best proximity points: Global optimal approximate solutions
• Common best proximity points: Global optimal solutions
• Best proximity point theorems generalizing the contraction principle
• Best proximity point theorems
• Global optimal approximate solutions
• Common best proximity points: global minimization of multi-objective functions
• Existence and convergence of best proximity points
• Erratum to: ``Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces [Nonlinear Anal. (2008), doi: 10.1016/j.na.2008.04.037]
• Best proximity points: convergence and existence theorems for \(p\)-cyclic mappings
• Best proximity sets and equilibrium pairs for a finite family of multimaps
• Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces
• Convergence and existence results for best proximity points
• Best proximity point theorems for \(p\)-cyclic Meir--Keeler contractions
• Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
• Approximate selections, best approximations, fixed points, and invariant sets
• On best proximity point theorems without ordering
• Best proximity points: approximation and optimization
• Common best proximity points: global minimal solutions
• Best proximity pair theorems for multifunctions with open fibres
• Best proximity points for cyclic Meir-Keeler contractions
• Common best proximity points: global optimization of multi-objective functions
• On general best proximity pairs and equilibrium pairs in free abstract economies
• Best proximity pairs and equilibrium pairs for Kakutani multimaps
• Extensions of two fixed point theorems of F. E. Browder
• Fixed-point theorems for set-valued mappings and existence of best approximants
• A theorem on best approximations
• A Generalization to Multifunctions of Fan's Best Approximation Theorem
• Some extensions of fan's best approximation theorem
• Proximinal Retracts and Best Proximity Pair Theorems
• Best proximity pair theorems

This page was built for publication: A best proximity point theorem for generalized non-self-Kannan-type and Chatterjea-type mappings and Lipschitzian mappings in complete metric spaces