On Minimax Inequalities in Topological Spaces Without Convexity Structure

DOI10.1515/JAA.2007.133zbMath1140.49005OpenAlexW2024971831MaRDI QIDQ5431886

No author found.

Publication date: 2 January 2008

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2007.133

zbMATH Keywords

set-valued mappingintersection theoremminimax inequalitytransfer compactly closed-valued

Mathematics Subject Classification ID

Set-valued operators (47H04) Existence of solutions for minimax problems (49J35) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Cites Work

• A generalization of Tychonoff's fixed point theorem
• Some properties of convex sets related to fixed point theorems
• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity
• Minimax and fixed point theorems
• Generalized G-KKM theorems in generalized convex spaces and their applications
• Some minimax inequalities for mappings with noncompact domain.
• Minimax inequalities of Ky Fan
• A coincidence point theorem and related results
• An intersection theorem in \(L\)-convex spaces with applications

This page was built for publication: On Minimax Inequalities in Topological Spaces Without Convexity Structure