Some results for the family KKM\((X,Y)\) and the \(\Phi\)-mapping

DOI10.1016/J.JMAA.2006.06.040zbMath1117.54047OpenAlexW1988108362MaRDI QIDQ868768

Chi-Ming Chen, Tong-Huei Chang

Publication date: 26 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.040

zbMATH Keywords

convex setminimax theoremcoincidence theoremmatching theorem\(k\)-set contraction\(\Phi\)-mapping\(\text{KKM}(X,Y)\)

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (8)

Fixed points and existence theorems of maximal elements with applications in \(FC\)-spaces ⋮ Some results for the family \(KKM(X,Y)\) and the \(\Phi\)-mapping in \(FC\)-spaces ⋮ Fixed point theorems for the \(\varPsi\)-set contraction mapping on almost convex sets ⋮ Multilayer approach to minimax theorems ⋮ Set contractions and KKM mappings in Banach spaces ⋮ Unnamed Item ⋮ Collective fixed point theorem and coincidence theorems in \(FC\)-spaces ⋮ Some maximal elements' theorems in \(FC\)-spaces

Cites Work

• A generalization of Tychonoff's fixed point theorem
• System of coincidence theorems with applications.
• KKM property and fixed point theorems
• Fixed-point theorems for multivalued noncompact inward maps
• Coincidence theorems in topological spaces and their applications

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