Best proximity points for asymptotic proximal pointwise weaker Meir-Keeler-type \(\psi\)-contraction mappings

DOI10.1016/J.JOEMS.2012.12.002zbMathNoneOpenAlexW2040106502MaRDI QIDQ392240

Chirasak Mongkolkeha, Poom Kumam

Publication date: 13 January 2014

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2012.12.002

zbMATH Keywords

best proximity pointasymptotic proximal pointwise weaker Meir-Keeler-type \(\psi\)-contractionproperty \(UC\)

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (8)

Unnamed Item ⋮ On existence and uniqueness of \(g\)-best proximity points under \(\left(\varphi, \theta, \alpha, g\right)\)-contractivity conditions and consequences ⋮ The existence and uniqueness of coupled best proximity point for proximally coupled contraction in a complete ordered metric space ⋮ Best proximity points of generalized almost \(\psi\)-Geraghty contractive non-self-mappings ⋮ A best proximity point theorem for generalized Geraghty-Suzuki contractions ⋮ A coincidence best proximity point problem in \(G\)-metric spaces ⋮ A characterization of weak proximal normal structure and best proximity pairs ⋮ Fixed point results for generalized \((\alpha, \psi)\)-Meir-Keeler contractive mappings and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Fixed point theorems for contraction mappings in modular metric spaces
• Fixed point theorems for cyclic Meir-Keeler type mappings in complete metric spaces
• A note on asymptotic pointwise weaker Meir-Keeler-type contractions
• Best proximity points for asymptotic cyclic contraction mappings
• Common fixed point theorems for \(c\)-distance in ordered cone metric spaces
• Coincidence and common fixed points for hybrid strict contractions without the weakly commuting condition
• Existence and convergence of best proximity points
• The existence of best proximity points in metric spaces with the property UC
• Asymptotic pointwise contractions
• Best proximity sets and equilibrium pairs for a finite family of multimaps
• Proximal pointwise contraction
• Fixed points of asymptotic contractions
• Best proximity point theorems for generalized cyclic contractions in ordered metric spaces
• Best proximity pair theorems for multifunctions with open fibres
• Best proximity pairs and equilibrium pairs for Kakutani multimaps
• A new contraction principle in Menger spaces
• A proof of the Generalized Banach Contraction Conjecture
• On Nonlinear Contractions
• Proximal normal structure and relatively nonexpansive mappings
• Best proximity pair theorems

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