Coincidence best proximity points for geraghty type proximal cyclic contractions

DOI10.22436/jmcs.018.01.11zbMath1427.54055OpenAlexW2783705104MaRDI QIDQ5205343

Nazra Sultana, Poom Kumam, Azhar Hussain, Somayya Komal

Publication date: 11 December 2019

Published in: Journal of Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jmcs.018.01.11

zbMATH Keywords

\(\alpha\)-Geraghty proximal contraction of first and second kind\(\alpha\)-proximal admissible maps\(\alpha\)-proximal cyclic contraction

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

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• Best proximity point results for modified \(\alpha\)-proximal \(C\)-contraction mappings
• A best proximity point theorem for Geraghty-contractions
• Fixed point theorems for \(\alpha\)-Geraghty contraction type maps in metric spaces
• Global optimal solutions of noncyclic mappings in metric spaces
• Coincidence and common fixed and periodic point theorems in cone metric spaces
• Best proximity points: Global optimal approximate solutions
• Common best proximity points: Global optimal solutions
• Best proximity point theorems generalizing the contraction principle
• Common best proximity points: global minimization of multi-objective functions
• Existence and convergence of best proximity points
• Cone metric spaces and fixed point theorems of contractive mappings
• 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 points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces
• Convergence and existence results for best proximity points
• Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
• Best proximity points: approximation and optimization
• Best proximity pair theorems for multifunctions with open fibres
• Best proximity points for Geraghty's proximal contraction mappings
• A coincidence best proximity point problem in \(G\)-metric spaces
• Best proximity points for cyclic Meir-Keeler contractions
• Extensions of Banach's Contraction Principle
• A Comparison of Various Definitions of Contractive Mappings
• Proximinal Retracts and Best Proximity Pair Theorems
• Generalized contractions in partially ordered metric spaces
• On Contractive Mappings
• Best proximity points for cyclic mappings in ordered metric spaces
• A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations

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