Common best proximity point theorem for multivalued mappings in partially ordered metric spaces

DOI10.1186/s13663-017-0615-yzbMath1387.41019OpenAlexW2762634967WikidataQ59604403 ScholiaQ59604403MaRDI QIDQ680749

Juan-Miguel Gracia

Publication date: 29 January 2018

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

Full work available at URL: https://doi.org/10.1186/s13663-017-0615-y

zbMATH Keywords

partially ordered setbest proximity point\(P\)-propertycommon best proximity pointaltering distance functionproximal relation

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

Unnamed Item ⋮ Best proximity point results for Hardy-Rogers \(p\)-proximal cyclic contraction in uniform spaces ⋮ Feng-Liu type approach to best proximity point results for multivalued mappings

Cites Work

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• Best proximity points: global minimization of multivalued non-self mappings
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Best proximity point theorems for multivalued mappings on partially ordered metric spaces
• Fixed point theorems by altering distances between the points
• Proximinal Retracts and Best Proximity Pair Theorems
• Best proximity points for cyclic mappings in ordered metric spaces

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