A note on Caristi-type cyclic maps: related results and applications

DOI10.1186/1687-1812-2013-344zbMath1334.54063OpenAlexW2099899227WikidataQ59295441 ScholiaQ59295441MaRDI QIDQ402508

Erdal Karapınar, Wei-Shih Du

Publication date: 28 August 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-344

zbMATH Keywords

best proximity point\(\mathcal{MT}\)-cyclic contraction\(\mathcal{MT}\)-function (\(\mathcal{R}\)-function)Caristi-type cyclic mapCaristi-type fixed point theorem

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (8)

A characterization of Smyth complete quasi-metric spaces via Caristi's fixed point theorem ⋮ Common fixed points for mappings under contractive conditions of \((\alpha,\beta,\psi)\)-admissibility type ⋮ On Caristi-type mappings without lower semicontinuity assumptions ⋮ Unnamed Item ⋮ Some new fixed point theorems in complex valued \(G\)-metric spaces ⋮ New results and generalizations for approximate fixed point property and their applications ⋮ New existence results for fixed point problem and minimization problem in compact metric spaces ⋮ Periodic and fixed points for Caristi-type \(G\)-contractions in extended \(b\)-gauge spaces

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