New topological versions of the Fan-Browder fixed point theorem.

DOI10.1016/S0362-546X(01)00204-8zbMath1042.47519OpenAlexW2089452656MaRDI QIDQ1875083

Sehie Park

Publication date: 26 August 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00204-8

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

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Generalizations of the Nash equilibrium theorem in the KKM theory ⋮ A unified fixed point theory in generalized convex spaces ⋮ Generalized Browder-type fixed point theorem with strongly geodesic convexity on Hadamard manifolds with applications ⋮ The matching theorems in \(G\)-convex spaces with applications ⋮ Comments on some fixed point theorems in hyperconvex metric spaces. ⋮ Fixed point theory of multimaps in abstract convex uniform spaces ⋮ Continuous selection theorems for Fan-Browder mappings in topological spaces and their applications ⋮ Equilibrium existence theorems in KKM spaces ⋮ New generalizations of basic theorems in the KKM theory ⋮ Existence result of generalized vector quasiequilibrium problems in locally \(G\)-convex spaces ⋮ Comments on collectively fixed points in generalized convex spaces ⋮ On solutions of generalized complementarity and eigenvector problems ⋮ Equilibria and fixed points of set-valued maps with nonconvex and noncompact domains and ranges ⋮ Fixed point theorems in locally \(G\)-convex spaces ⋮ Recent results in analytical fixed point theory ⋮ Comments on abstract convexity structures on topological spaces ⋮ Continuous selection and fixed point theorems

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