Existence and convergence theorems of best proximity points

DOI10.1155/2013/101439zbMath1266.47076OpenAlexW2041306260WikidataQ59001559 ScholiaQ59001559MaRDI QIDQ2375402

Naseer Shahzad, Moosa Gabeleh

Publication date: 14 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/101439

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (8)

On a cyclic Jungck modified \(TS\)-iterative procedure with application examples ⋮ Best proximity point results for modified \(\alpha\)-proximal \(C\)-contraction mappings ⋮ Uniform convexity, strong convexity and property UC ⋮ A note on Caristi-type cyclic maps: related results and applications ⋮ Best proximity points of generalized semicyclic impulsive self-mappings: applications to impulsive differential and difference equations ⋮ Best proximity point results in dislocated metric spaces via \(R\)-functions ⋮ Best proximity points for relatively \(u\)-continuous mappings in Banach and hyperconvex spaces ⋮ Best proximity points for some classes of proximal contractions

Cites Work

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• Best proximity points of non-self mappings
• Best proximity point theorems for generalized proximal contractions
• Proximal weakly contractive and proximal nonexpansive non-self-mappings in metric and Banach spaces
• Nonlinear conditions for the existence of best proximity points
• Best proximity points of cyclic \(\varphi\)-contractions in ordered metric spaces
• Existence and convergence of best proximity points
• The existence of best proximity points in metric spaces with the property UC
• Convergence and existence results for best C-proximity points
• A Note on Existence and Convergence of Best Proximity Points for Pointwise Cyclic Contractions
• Inequalities in Banach spaces with applications
• Fixed Points by a New Iteration Method
• Proximal normal structure and relatively nonexpansive mappings

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