A parametric type of KKM theorem in \(FC\)-spaces with applications

DOI10.1007/s10483-009-0108-xzbMath1162.54324OpenAlexW2056652872MaRDI QIDQ1016167

Lei Deng, Xiao-Yan Zang

Publication date: 4 May 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-0108-x

Mathematics Subject Classification ID

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

Cites Work

• A generalization of Tychonoff's fixed point theorem
• Collective fixed points and a system of coincidence theorems in product FC-spaces and applica\-tions
• KKM type theorems with applications to generalized vector equilibrium problems in FC-spaces
• A noncompact topological minimax theorem
• Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity
• Maximal element theorems in product \(FC\)-spaces and generalized games
• Some nonempty intersection theorems in generalized interval spaces with applications
• Minimax theorems for upper semicontinuous functions
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