Best proximity point theorems in the frameworks of fairly and proximally complete spaces

DOI10.1007/S11784-016-0324-XzbMath1491.54054OpenAlexW2548734866MaRDI QIDQ1687167

Sadiq Basha

Publication date: 22 December 2017

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

Full work available at URL: https://doi.org/10.1007/s11784-016-0324-x

zbMATH Keywords

fixed pointglobal minimizationbest proximity pointproximal contractionfairly complete spaceproximally complete space

Mathematics Subject Classification ID

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

Related Items (7)

Unnamed Item ⋮ Unnamed Item ⋮ Best Proximity Point Theorems for Some Special Proximal Contractions ⋮ Best proximity points for generalized proximal weak contractions in partially ordered metric spaces ⋮ Unnamed Item ⋮ Best proximity point theorems for contractive mappings ⋮ Best approximation theorems for almost cyclic contractions

Cites Work

• Unnamed Item
• Best proximity point theorems generalizing the contraction principle
• The existence of best proximity points in metric spaces with the property UC
• Best proximity pair theorems for multifunctions with open fibres
• Pythagorean property and best-proximity point theorems
• Proximinal Retracts and Best Proximity Pair Theorems

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