A best proximity point theorem for Roger-Hardy type generalized \(F\)-contractive mappings in complete metric spaces with some examples

DOI10.1007/S13398-017-0440-5zbMath1425.54026OpenAlexW2757591204WikidataQ59306800 ScholiaQ59306800MaRDI QIDQ1800645

K. Khammahawong, Poom Kumam

Publication date: 24 October 2018

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-017-0440-5

zbMATH Keywords

nonexpansive mappingmetric spacebest proximity point\(F\)-contractioncyclic contractionRoger-Hardy type contraction

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40)

Related Items (5)

New fixed point results for \(F\)-contractions of Hardy-Rogers type in \(b\)-metric spaces with applications ⋮ \(n^{\mathrm{th}}\) composite iterative scheme via weak contractions with application ⋮ Unnamed Item ⋮ Approximating best proximity points for Reich type non-self nonexpansive mappings ⋮ Unnamed Item

Cites Work

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• Fixed points of a new type of contractive mappings in complete metric spaces
• Iterated function systems consisting of \(F\)-contractions
• Fixed point results for generalized \(F\)-contractive and roger Hardy type \(F\)-contractive mappings in \(G\)-metric spaces
• A best proximity point theorem for generalized non-self-Kannan-type and Chatterjea-type mappings and Lipschitzian mappings in complete metric spaces
• Best proximity point theorems generalizing the contraction principle
• Common best proximity points: global minimization of multi-objective functions
• Best proximity points: approximation and optimization
• Some fixed point theorems concerning \(F\)-contraction in complete metric spaces
• Extensions of two fixed point theorems of F. E. Browder
• Fixed point results for F-contractive mappings of Hardy-Rogers-type
• A Generalization of a Fixed Point Theorem of Reich
• Proximal normal structure and relatively nonexpansive mappings

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