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

DOI10.1016/j.na.2006.06.056zbMath1124.54004OpenAlexW2003843564MaRDI QIDQ885319

Lai-Jiu Lin, Mircea Balaj

Publication date: 8 June 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.06.056

zbMATH Keywords

alternative theorem\(G\)-convex spaceminimax inequalitygeneralized \(G\)-KKM mappingtransfer closed (open) valued

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Existence of solutions for minimax problems (49J35) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (4)

New existence theorems for quasi-equilibrium problems and a minimax theorem on complete metric spaces ⋮ Alternative principles and minimax inequalities in \(G\)-convex spaces ⋮ General theorems of the Knaster-Kuratowski- Mazurkiewicz type and applications to the existence study in optimization ⋮ Alternative principles and their applications

Cites Work

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• Coincidences for set-valued maps and minimax inequalities
• Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity
• On some generalized quasi-equilibrium problems
• Foundations of the KKM theory on generalized convex spaces
• KKM property and fixed point theorems
• Collective fixed points and maximal elements with applications to abstract economies
• Two minimax inequalities in \(G\)-convex spaces
• Applications of a theorem concerning sets with convex sections
• The fixed point theory of multi-valued mappings in topological vector spaces
• Coincidence theorems and equilibria of generalized games
• The study of KKM theorems with applications to vector equilibrium problems and implict vector variational inequalities problems
• Ein Fixpunktsatz
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• Minimax inequalities inG-convex spaces
• A minimax theorem
• Applications of a fixed point theorem in \(G\)-convex space
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