On sets with convex sections

DOI10.1016/0022-247X(69)90058-4zbMath0176.42703OpenAlexW1995941816MaRDI QIDQ2534032

Tsoy-Wo Ma

Publication date: 1969

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(69)90058-4

zbMATH Keywords

functional analysis

Mathematics Subject Classification ID

Functional analysis (46-XX)

Related Items (20)

Further generalizations of the Gale-Nikaido-Debreu theorem ⋮ Generalizations of the Nash equilibrium theorem in the KKM theory ⋮ A fixed point theorem and equilibrium point of an abstract economy ⋮ Intersection theorems and their applications to Berge equilibria ⋮ Collective fixed points and a system of coincidence theorems in product FC-spaces and applica\-tions ⋮ New collectively fixed point theorems and applications in \(G\)-convex spaces ⋮ A fixed-point theorem and applications to problems on sets with convex sections and to Nash equilibria. ⋮ Modeling large societies: why countable additivity is necessary ⋮ Acyclic versions of the von Neumann and Nash equilibrium theorems ⋮ New fixed-point theorems for two maps and applications to problems on sets with convex sections and minimax inequalities ⋮ On Cournot–Nash equilibria in generalized qualitative games with a continuum of players ⋮ Intersection theorems concerning noncompact sets with H-convex sections and their applications ⋮ On the existence of Nash equilibrium point for a game between infinitely many players with noncompact strategy sets ⋮ Fixed point theorems on product topological spaces and applications ⋮ Conditional expectation of correspondences and economic applications ⋮ Fixed point theorems in homotopically trivial spaces ⋮ On abstract economies with an arbitrary set of players and action sets in locally-convex topological vector spaces ⋮ On two theorems concerning sets with convex sections ⋮ Some properties of convex sets related to fixed point theorems ⋮ Remarks on acyclic versions of generalized von Neumann and Nash equilibrium theorems

Cites Work

• Unnamed Item
• Applications of a theorem concerning sets with convex sections
• The fixed point theory of multi-valued mappings in topological vector spaces
• Non-cooperative games
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces

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