On Reich’s fixed point problem

DOI10.1090/PROC/16583OpenAlexW4381490914MaRDI QIDQ6083366

Nguyen Van Dung

Publication date: 31 October 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/16583

zbMATH Keywords

fixed pointReich's problemmulti-valued contraction

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

• Around Browder's fixed point theorem for contractions
• Fixed point theorems for multivalued mappings on complete metric spaces
• Caristi's fixed point theorem and selections of set-valued contractions
• Fixed points of generalized contractive multi-valued mappings
• A contribution to Reich's conjecture
• Multi-valued contraction mappings
• Some problems and results in fixed point theory
• A variational method in fixed point results with inwardness conditions
• Metric fixed point theory for multivalued mappings
• On a fixed point problem of Reich
• On a conjecture of S. Reich
• Topologies on Spaces of Subsets
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