On best proximity points under the \(P\)-property on partially ordered metric spaces

DOI10.1155/2013/150970zbMath1298.54031OpenAlexW1991320262WikidataQ58915369 ScholiaQ58915369MaRDI QIDQ2016645

Bessem Samet, Erdal Karapınar, Mohamed Jleli

Publication date: 20 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/150970

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (10)

Best proximity points and stability results for controlled proximal contractive set valued mappings ⋮ The existence of optimal approximate solution theorems for generalized \(\alpha\)-proximal contraction non-self mappings and applications ⋮ Some new results on fixed and best proximity points in preordered metric spaces ⋮ A note on Caristi-type cyclic maps: related results and applications ⋮ Unnamed Item ⋮ New results and generalizations for approximate fixed point property and their applications ⋮ A note on best proximity point theorems under weak \(P\)-property ⋮ Fixed point theorems in orbitally 0-complete partial metric spaces via rational contractive conditions ⋮ Multi-valued \(F\)-contractions in 0-complete partial metric spaces with application to Volterra type integral equation ⋮ Best proximity point results in set-valued analysis

Cites Work

• Best proximity points of non-self mappings
• Proximal weakly contractive and proximal nonexpansive non-self-mappings in metric and Banach spaces
• The existence of best proximity points for multivalued non-self-mappings
• Some results on best proximity points
• Best proximity points: approximation and optimization in partially ordered metric spaces
• Global optimal solutions of noncyclic mappings in metric spaces
• A best proximity point theorem for weakly contractive non-self-mappings
• A note on some best proximity point theorems proved under \(P\)-property
• Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations
• Ran-Reurings theorems in ordered metric spaces
• Generalized contractions in partially ordered metric spaces

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