On Caristi-type mappings without lower semicontinuity assumptions

DOI10.1007/s11784-015-0253-0zbMath1361.37025OpenAlexW1057673148MaRDI QIDQ901059

Wei-Shih Du

Publication date: 23 December 2015

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

Full work available at URL: https://doi.org/10.1007/s11784-015-0253-0

zbMATH Keywords

fixed pointBanach contraction principleorbitCaristi's fixed point theoremCaristi-type mappinginfluential functionrough quasi-distance

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (4)

Metric fixed point theory: a brief retrospective ⋮ A generalization of Diaz-Margolis's fixed point theorem and its application to the stability of generalized Volterra integral equations ⋮ A PURELY METRIC PROOF OF THE CARISTI FIXED POINT THEOREM ⋮ Some generalizations of fixed point theorems of Caristi type and Mizoguchi-Takahashi type under relaxed conditions

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