Caristi's condition and existence of a minimum of a lower bounded function in a metric space. Applications to the theory of coincidence points
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Publication:267904
DOI10.1134/S0081543815080039zbMath1336.49005OpenAlexW2275712148MaRDI QIDQ267904
Publication date: 12 April 2016
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543815080039
set-valued mappingsminimacoincidence pointsCaristi's conditioncomplete metric spaceslower bounded functions
Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Metric spaces, metrizability (54E35) Fixed-point and coincidence theorems (topological aspects) (54H25) Existence theories for problems in abstract spaces (49J27)
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Cites Work
- Perturbation of solutions of the coincidence point problem for two mappings
- Covering mappings in metric spaces and fixed points
- Remarks on Caristi's fixed point theorem
- Around Browder's fixed point theorem for contractions
- Locally covering maps in metric spaces and coincidence points
- Cascade search principle and its applications to the coincidence problems of \(n\) one-valued or multi-valued mappings
- Minimum of a functional in a metric space and fixed points
- Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
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