A new fixed point theorem and its applications
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Publication:4336653
DOI10.1090/S0002-9939-97-03903-8zbMath0871.47038MaRDI QIDQ4336653
Publication date: 13 May 1997
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
multivalued mappingslocally convex topological vector spacelower semicontinuousabstract economymetrizablequalitative gameequilibrium theorems
Games with infinitely many players (91A07) Fixed-point theorems (47H10) Set-valued operators (47H04) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)
Related Items (23)
A fixed point theorem and its applications to a system of variational inequalities ⋮ On Krasnoselskii fixed point theorem and fractal ⋮ Random fixed point theorems under weak topology features and application to random integral equations with lack of compactness ⋮ Equilibria with discontinuous preferences: new fixed point theorems ⋮ Fixed point theorems for condensing multimaps on locally \(G\)-convex spaces ⋮ Existence of the equilibrium in choice ⋮ Fuzzy Kakutani-Fan-Glicksberg fixed point theorem and existence of Nash equilibria for fuzzy games ⋮ Browder type fixed point theorems and Nash equilibria in generalized games ⋮ Applications of Michael's selection theorems to fixed point theory ⋮ The study of abstract economies with two constraint correspondences ⋮ A fixed-point theorem and equilibria of abstract economies with weakly upper semicontinuous set-valued maps ⋮ Existence of Equilibrium Pairs for Generalized Games ⋮ Quasi-Equilibrium Problems and Fixed Point Theorems of Separately l.s.c and u.s.c Mappings ⋮ A note on equilibria for abstract economies ⋮ Fixed set theorems of Krasnoselskiĭ type ⋮ On fixed point and almost fixed point problems of lower semicontinuous type multivalued mappings ⋮ On fixed point and almost fixed point problems of lower semicontinuous type multivalued mappings ⋮ Continuous selections and fixed points of multi-valued mappings on noncompact or nonmetrizable spaces ⋮ The study of existence of equilibria for generalized games without lower semicontinuity in locally topological vector spaces ⋮ Some new equilibrium theorems for abstracts economies ⋮ Existence of equilibrium for generalized abstract fuzzy economies ⋮ New results on equilibria of abstract fuzzy economies ⋮ On a New Class of Systems of Generalized Quasi-Variational Inequalities
Cites Work
- Continuous selections. I
- Existence of maximal elements and equilibria in linear topological spaces
- Fixed points theorems for mappings with non-compact and non-convex domains
- Existence of equilibrium for abstract economies
- Some remarks on fixed points of lower semicontinuous multifunctions
- A theorem on semi-continuous set-valued functions
- A fixed point theorem and existence of equilibrium for abstract economies
- A selection theorem and its applications
- Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
- Fixed points of compact multifunctions
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