A short note on the equivalence between `best proximity' points and `fixed point' results

DOI10.1186/1029-242X-2014-246zbMath1308.41034WikidataQ59321818 ScholiaQ59321818MaRDI QIDQ2258637

Mohamed Jleli, Bessem Samet, Erdal Karapınar

Publication date: 26 February 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

fixed pointbest proximity\(h\)-orbitally complete

Mathematics Subject Classification ID

Nonlinear programming (90C30) Fixed-point theorems (47H10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (4)

Best proximity point results in partially ordered metric spaces via simulation functions ⋮ A note on best approximation in 0-complete partial metric spaces ⋮ Best proximity point theorems for generalized α-proximal contractions in Banach spaces ⋮ Properties of convergence of a class of iterative processes generated by sequences of self-mappings with applications to switched dynamic systems

Cites Work

• Best proximity point theorems: an exploration of a common solution to approximation and optimization problems
• Best proximity points for proximal generalized contractions in metric spaces

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