Coincidence theorems for the better admissible multimaps and their applications

DOI10.1016/S0362-546X(97)00385-4zbMath0922.47052MaRDI QIDQ4378969

Sehie Park

Publication date: 17 October 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

KKM theoremmatching theoremadmissible classfixed point theorems for compact or condensing multimaps

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (13)

Maximal elements for \(G_B\)-majorized mappings in product \(G\)-convex spaces and applications. I ⋮ A unified fixed point theory in generalized convex spaces ⋮ KKM type theorems with applications to generalized vector equilibrium problems in FC-spaces ⋮ Fixed point theory of multimaps in abstract convex uniform spaces ⋮ Intersection theorems, coincidence theorems and maximal-element theorems in GFC-spaces ⋮ Fixed points for better admissible multifunctions on proximity spaces ⋮ Almost fixed points of multimaps having totally bounded ranges ⋮ Maximal element theorems in product \(FC\)-spaces and generalized games ⋮ Unnamed Item ⋮ Equivalent forms of a generalized KKM theorem and their applications ⋮ Fixed point theorems in locally \(G\)-convex spaces ⋮ KKM property, \(S\)-KKM property and fixed point theorems ⋮ Remarks on equilibria for \(g\)-monotone maps on generalized convex spaces

Cites Work

• On the use of KKM multifunctions in fixed point theory and related topics
• Generalized equilibrium problems and generalized complementarity problems
• Extensions of best approximation and coincidence theorems
• Generalized variational inequalities of the Hartman-Stampacchia-Browder type
• KKM property and fixed point theorems
• Generalized Leray-Schauder principles for condensing admissible multifunctions
• Fixed-point theorems for multivalued noncompact inward maps
• Generalized Leray-Schauder principles for compact admissible multifunctions
• Coincidence theorems for admissible multifunctions on generalized convex spaces
• A Degree Theory, Fixed Point Theorems, and Mapping Theorems for Multivalued Noncompact Mappings
• A unified approach to variational inequalities on compact convex sets
• Some Fixed Point Theorems for Composites of Acyclic Maps
• A Leray-Schauder Type Theorem for Approximable Maps
• SURFACES OF GENERAL TYPE WITH p_g= 1 AND q = 0
• Fixed points of approximable maps
• A general coincidence theorem on contractible spaces
• Best approximation theorems for composites of upper semicontinuous maps
• Fixed points, maximal elements and equilibria of generalized games
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