Best proximity point theorems for contractive mappings

DOI10.1007/s11784-018-0560-3OpenAlexW2799900893MaRDI QIDQ721231

S. Sadiq Basha

Publication date: 18 July 2018

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

Full work available at URL: https://doi.org/10.1007/s11784-018-0560-3

zbMATH Keywords

fixed pointbest proximity pointproximal contractive mappingcyclic contractive mappingprincipal cyclic contractive mappingproximally compact space

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Fixed-point theorems (47H10)

Related Items (4)

Relative Continuity, Proximal Boundedness and Best Proximity Point Theorems ⋮ Best approximation theorems for almost cyclic contractions ⋮ Best proximity point for the sum of two non-self-operators ⋮ Best Proximity Point Results for Contractive and Cyclic Contractive Type Mappings

Cites Work

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• A best proximity point theorem for weakly contractive non-self-mappings
• 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
• Existence and convergence of best proximity points
• The existence of best proximity points in metric spaces with the property UC
• Best proximity point theorems for proximal cyclic contractions
• Best proximity point theorems in the frameworks of fairly and proximally complete spaces
• Best proximity pair theorems for multifunctions with open fibres
• Pythagorean property and best-proximity point theorems
• On Fixed and Periodic Points Under Contractive Mappings
• Proximinal Retracts and Best Proximity Pair Theorems

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