New fixed-point theorems for two maps and applications to problems on sets with convex sections and minimax inequalities

DOI10.1016/S0898-1221(04)90016-8zbMath1057.54030MaRDI QIDQ1433099

Kunquan Lan

Publication date: 15 June 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

fixed pointminimax inequalitiesintersection theoremlocal intersection propertysets with convex sectionstransfer closed maps

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (3)

Transfer closed and transfer open multimaps in minimal spaces ⋮ Collective fixed points and a system of coincidence theorems in product FC-spaces and applica\-tions ⋮ An intersection theorem for multivalued maps and applications

Cites Work

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• Existence of maximal elements and equilibria in linear topological spaces
• Some properties of convex sets related to fixed point theorems
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• Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
• A generalization of \(H\)-space and some results on multivalued mappings without convexity
• A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications
• Coincidence theorems in topological spaces and their applications
• 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
• A fixed point theorem and its applications to a system of variational inequalities
• Continuous Selection Theorems in Generalized Convex Spaces
• New fixed point theorems for a family of mappings and applications to problems on sets with convex sections

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