A Remark on the Caristi’s Fixed Point Theorem and the Brouwer Fixed Point Theorem

DOI10.1007/978-3-030-45619-1_7zbMath1450.54016OpenAlexW3035945792MaRDI QIDQ5126373

Sompong Dhompongsa, Poom Kumam

Publication date: 16 October 2020

Published in: Statistical and Fuzzy Approaches to Data Processing, with Applications to Econometrics and Other Areas (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-45619-1_7

zbMATH Keywords

Brouwer fixed point theoremZorn's lemma

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

• Remarks on Caristi's fixed point theorem
• Semi-continuous mappings in general topology
• Lower semicontinuous regularization for vector-valued mappings
• A lattice-theoretical fixpoint theorem and its applications
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