Some properties of convex sets related to fixed point theorems

DOI10.1007/BF01458545zbMath0515.47029WikidataQ116689795 ScholiaQ116689795MaRDI QIDQ1051884

Ky Fan

Publication date: 1984

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163874

zbMATH Keywords

minimax inequalitiesintersection theoremscoverings of convex setsfixed point and coincidence theorems for non-compact convex sets

Mathematics Subject Classification ID

Variational inequalities (49J40) Fixed-point theorems (47H10) Convex sets in topological linear spaces; Choquet theory (46A55)

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Cites Work

• On general minimax theorems
• A generalization of Tychonoff's fixed point theorem
• On the use of KKM multifunctions in fixed point theory and related topics
• A propos de l'existence et de la régularité des solutions de certaines inéquations quasi-variationnelles. (Remark on the existence and regularity of certain quasi-variational inequalities.)
• A non-compact minimax theorem
• On the Knaster-Kuratowski-Mazurkiewicz-Shapley theorem
• A minimax inequality and its applications to variational inequalities
• Nonlinear variational inequalities and fixed point theorems
• Variational inequalities, complementarity problems, and duality theorems
• Applications of a theorem concerning sets with convex sections
• On sets with convex sections
• The fixed point theory of multi-valued mappings in topological vector spaces
• Extensions of two fixed point theorems of F. E. Browder
• Ein Fixpunktsatz
• Non-cooperative games
• A generalization of Brouwer's fixed point theorem
• Mathematical methods of game and economic theory
• On fixed points and variational inequalities—a circular tour
• A Fixed-Point Theorem for Inward and Outward Maps
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
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