Best proximity point theorems for generalized \(\alpha\)-\(\beta\)-proximal quasi-contractive mappings

DOI10.1186/s13663-017-0612-1zbMath1474.54116OpenAlexW2754567386WikidataQ59482337 ScholiaQ59482337MaRDI QIDQ680741

Mohamed Iadh Ayari

Publication date: 29 January 2018

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-017-0612-1

zbMATH Keywords

best proximity points\(\alpha\)-\(\beta\)-proximal quasi-contractive mappingsmetric spaces with symmetric binary relation

Mathematics Subject Classification ID

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

Related Items (4)

Generalization of best proximity points theorem for non-self proximal contractions of first kind ⋮ A best proximity point theorem for \(\alpha \)-proximal Geraghty non-self mappings ⋮ A best proximity point theorem for special generalized proximal \(\beta \)-quasi contractive mappings ⋮ Unnamed Item

Cites Work

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• A best proximity point theorem for weakly contractive non-self-mappings
• Best proximity points: convergence and existence theorems for \(p\)-cyclic mappings
• Best proximity sets and equilibrium pairs for a finite family of multimaps
• Convergence and existence results for best proximity points
• Fixed point theorems on a metric space endowed with an arbitrary binary relation and applications
• Coincidence and common fixed point results on metric spaces endowed with an arbitrary binary relation and applications
• Best proximity pair theorems for multifunctions with open fibres
• Best proximity points for generalized \(\alpha-\psi\)-proximal contractive type mappings
• Coincidence and common fixed point results for \(\beta\)-quasi contractive mappings on metric spaces endowed with binary relation
• Extensions of Banach's Contraction Principle
• Best proximity pair theorems

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