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

DOI10.5402/2011/696917zbMath1238.54024OpenAlexW1999635077WikidataQ58690007 ScholiaQ58690007MaRDI QIDQ420243

Rong-Hua He

Publication date: 21 May 2012

Published in: ISRN Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2011/696917

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• A generalization of Tychonoff's fixed point theorem
• Some results for the family KKM\((X,Y)\) and the \(\Phi\)-mapping
• KKM type theorems and generalized vector equilibrium problems in noncompact FC-spaces
• Collective fixed points and a system of coincidence theorems in product FC-spaces and applica\-tions
• KKM mappings in metric spaces
• Maximal element theorems in product \(FC\)-spaces and generalized games
• KKM property and fixed point theorems
• Coincidence theorems for families of multimaps and their applications to equilibrium problems
• Fixed point theorems for multifunctions having KKM property on almost convex sets
• Abstract convexity and generalizations of Himmelberg type fixed-point theorems