Fixed points theorems for mappings with non-compact and non-convex domains

DOI10.1016/0022-247X(91)90274-4zbMath0735.47037MaRDI QIDQ1176166

Guoqiang Tian

Publication date: 25 June 1992

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

zbMATH Keywords

weakly inwardmultivalued mappingFréchet topological vector spaceexistence of a fixed pointl.s.c. mappingsu.s.c. mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25)

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Cites Work

• Unnamed Item
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• Continuous selections. I
• Existence of maximal elements and equilibria in linear topological spaces
• Equilibrium in abstract economies without ordered preferences
• Equilibrium in abstract economies with a non-compact infinite dimensional strategy space, an infinite number of agents and without ordered preferences
• Fixed-point theorems for multivalued noncompact inward maps
• The fixed point theory of multi-valued mappings in topological vector spaces
• Extensions of two fixed point theorems of F. E. Browder
• Fixed point theorems for set-valued maps in infinite dimensional spaces
• Mathematical methods of game and economic theory
• On Asymptotic Centers and Fixed Points of Nonexpansive Mappings
• A Fixed-Point Theorem for Inward and Outward Maps
• Equilibrium points in n -person games
• Existence of an Equilibrium for a Competitive Economy

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