Best proximity points for multi-valued Suzuki \(\alpha\)-\(F\)-proximal contractions

DOI10.1007/s11784-017-0457-6zbMath1489.54156OpenAlexW2727946339WikidataQ59306819 ScholiaQ59306819MaRDI QIDQ1684893

Peng Zhang

Publication date: 12 December 2017

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

Full work available at URL: https://doi.org/10.1007/s11784-017-0457-6

zbMATH Keywords

metric spacebest proximity point\(\alpha \)-proximal admissible\(\alpha\)-\(F\)-proximal contraction

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (4)

Best proximity point results in \(b\)-metric space and application to nonlinear fractional differential equation ⋮ Unnamed Item ⋮ Best proximity points for ψ-proximal multi-functions ⋮ Existence and Iterative Approximation of Hybrid Best Proximity Points for Set-Valued Mappings^*

Cites Work

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• Best proximity point for \(\alpha\)-\(\psi\)-proximal contractive multimaps
• The existence theorems of an optimal approximate solution for generalized proximal contraction mappings
• Best proximity point results for modified Suzuki \(\alpha\)-\(\psi\)-proximal contractions
• A note on `A best proximity point theorem for Geraghty-contractions'
• Best proximity points for Geraghty's proximal contraction mappings
• Some fixed point theorems concerning \(F\)-contraction in complete metric spaces
• Extensions of two fixed point theorems of F. E. Browder
• Multi-valued contraction mappings
• Best proximity points for generalized proximal \(C\)-contraction mappings in metric spaces with partial orders
• A Generalization of a Fixed Point Theorem of Reich

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