Fixed points, intersection theorems, variational inequalities, and equilibrium theorems

DOI10.1155/S0161171200002593zbMath0965.47046MaRDI QIDQ1585719

Sehie Park

Publication date: 5 March 2001

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48829

zbMATH Keywords

fixed pointvariational inequalityclosed mapcompact mapequilibrium pointconvex spacemaximal pointquasiconvexquasiconcaveacyclic mapadmissible subsetpolytope, quasi-equilibrium

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) General equilibrium theory (91B50) Fixed points and coincidences in algebraic topology (55M20) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (9)

Generalizations of the Nash equilibrium theorem in the KKM theory ⋮ Convergence theorems of solutions of a generalized variational inequality ⋮ Convergence theorems for mixed equilibrium problems, variational inequality problem and uniformly quasi-\(\phi \)-asymptotically nonexpansive mappings ⋮ A fixed-point theorem and applications to problems on sets with convex sections and to Nash equilibria. ⋮ New fixed-point theorems for two maps and applications to problems on sets with convex sections and minimax inequalities ⋮ Compact Browder maps and equilibria of abstract economies ⋮ Fixed-point theorems for multifunctions in S-KKM class ⋮ Vector Variational Inequalities In G-Convex Spaces ⋮ Remarks on acyclic versions of generalized von Neumann and Nash equilibrium theorems

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