Some Fundamental Topological Fixed Point Theorems for Set-Valued Maps

DOI10.1007/978-3-319-01586-6_7zbMath1329.54002OpenAlexW31620012MaRDI QIDQ5244711

Hichem Ben-El-Mechaiekh

Publication date: 30 March 2015

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

Full work available at URL: https://doi.org/10.1007/978-3-319-01586-6_7

zbMATH Keywords

fixed pointBrouwer fixed point theoremintersection theoremKakutani-Ky Fan fixed point theoremcoincidence theoremmatching theoremKKM lemmaSchauder-Tychonoff fixed point theoremKakutani mapcoercivity conditionMazur-Schauder theoremBrowder-Ky Fan fixed point theoremKy Fan map

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Research exposition (monographs, survey articles) pertaining to general topology (54-02)

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