Alternative principles and minimax inequalities in \(G\)-convex spaces

DOI10.1007/S10483-008-0510-XzbMath1231.54011OpenAlexW2099937730MaRDI QIDQ940632

Mircea Balaj

Publication date: 1 September 2008

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

Full work available at URL: https://doi.org/10.1007/s10483-008-0510-x

zbMATH Keywords

alternative theoremfixed point theorem\(G\)-convex spacemaximal elementminimax inequalitystrict KKM property

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Existence of solutions for minimax problems (49J35)

Related Items (1)

General existence theorems, alternative theorems and applications to minimax problems

Cites Work

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• Fixed point theorems for compact multimaps on almost \(\varGamma\)-convex sets in generalized convex spaces
• Alternative theorems and minimax inequalities in \(G\)-convex spaces
• Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity
• KKM property and fixed point theorems
• Two minimax inequalities in \(G\)-convex spaces
• Coincidence theorems and equilibria of generalized games
• Fixed points for Kakutani factorizable multifunctions
• Coincidences and fixed points in locally G-convex spaces
• REMARKS ON THE KKM PROPERTY FOR OPEN-VALUED MULTIMAPS ON GENERALIZED CONVEX SPACES
• Minimax inequalities inG-convex spaces
• Applications of a fixed point theorem in \(G\)-convex space

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