A new class of \(\mathcal{S}\)-contractions in complete metric spaces and \(\mathcal{G_{P}}\)-contractions in ordered metric spaces

DOI10.1186/s13663-016-0556-xzbMath1356.54045OpenAlexW2503987298WikidataQ59306860 ScholiaQ59306860MaRDI QIDQ737226

Somayya Komal, Poom Kumam

Publication date: 9 August 2016

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

Full work available at URL: https://doi.org/10.1186/s13663-016-0556-x

zbMATH Keywords

fixed pointcommon fixed pointbest proximity point\(P\)-propertycommon best proximity pointproximally commuting mappings\(\mathcal{G_{P}}\)-contraction\(\mathcal{G_{P}}\)-function\(\mathcal{S}\)-contraction

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (2)

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Cites Work

• Coupled best proximity point theorem in metric spaces
• On \(\mathcal P\)-contractions in ordered metric spaces
• Global optimal solutions of noncyclic mappings in metric spaces
• Best proximity points: Global optimal approximate solutions
• Best proximity point theorems generalizing the contraction principle
• Common best proximity points: global minimization of multi-objective functions
• Best proximity points: approximation and optimization
• Common best proximity points: global minimal solutions
• A coincidence best proximity point problem in \(G\)-metric spaces
• Extensions of two fixed point theorems of F. E. Browder
• Extensions of Banach's Contraction Principle

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