Abstract convexity and fixed points

From MaRDI portal
Publication:1269060

DOI10.1006/jmaa.1998.5918zbMath0986.54054OpenAlexW2063174057MaRDI QIDQ1269060

Hichem Ben-El-Mechaiekh, Souhail Chebbi, Monique Florenzano, Juan-Vicente Llinares

Publication date: 1 November 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.5918




Related Items (62)

Existence of solutions for nonlinear inequalities in \(G\)-convex spacesPareto equilibria for constrained multiobjective games in locally \(L\)-convex spacesMaximal elements for \(G_B\)-majorized mappings in product \(G\)-convex spaces and applications. ICollectively fixed point theorems in noncompact abstract convex spaces with applicationsAbstract Convexity, Some Relations and ApplicationsCOLLECTIVELY FIXED POINT THEOREM AND ABSTRACT ECONOMY ING-CONVEX SPACESMaximal elements of \(G_{\mathrm{KKM}}\)-majorized mappings in product FC-spaces and applications. IIA unified fixed point theory in generalized convex spacesA new KKM theorem in \(L\)-convex spaces and some applicationsGeneralized KKM type theorems in FC-spaces with applications. IFixed point theorems for the class S-KKM mappings in abstract convex spacesNew systems of generalized vector quasi-equilibrium problems in product \(FC\)-spacesNonempty intersection theorems and generalized multi-objective games in product \(FC\)-spacesCollective fixed points and a system of coincidence theorems in product FC-spaces and applica\-tionsSystems of generalized quasi-variational inclusion (disclusion) problems in \(FC\)-spacesEquilibrium existence theorems of generalized games for generalized \(\mathcal L_{\theta, F_c}\)-majorized mapping in topological spaceKKM type theorems with applications to generalized vector equilibrium problems in FC-spacesMaximal elements of \(G_{\mathrm{KKM}}\)-majorized mappings in product \(FC\)-spaces and applications. IUnnamed ItemNew collectively fixed point theorems and applications in \(G\)-convex spacesA generalization of Fan's matching theoremFixed points and existence theorems of maximal elements with applications in \(FC\)-spacesSet valued equilibrium problems without linear structureEquilibrium existence theorems for multi-leader-follower generalized multiobjective games in \(FC\)-spacesUnnamed ItemFixed point theory of multimaps in abstract convex uniform spacesSpaces and maps approximation and fixed pointsOn M-fuzzifying JHC convex structures and M-fuzzifying Peano interval spacesWeak KKM theorems in generalized finitely continuous space with applicationsSolution of a class of equilibrium problems and variational inequalities in FC spacesRemarks on weakly KKM maps in abstract convex spacesGeneralized KKM type theorems in FC-spaces with applications. IIFixed points, minimax inequalities and equilibria of noncompact abstract economies in \(FC\)-spacesMaximal elements and generalized games involving condensing mappings in locally \(FC\)-uniform spaces and applications. IMaximal elements and generalized games involving condensing mappings in locally \(FC\)-uniform spaces and applications. IIFixed point theorems and \(L^{*}\)-operatorsGeneralized convexity and applications to fixed points and equilibriaThe generalized game and the system of generalized vector quasi-equilibrium problems in locally \(FC\)-uniform spacesA section theorem with applications to coincidence theorems and minimax inequalities in \(FWC\)-spacesMaximal element theorems in product \(FC\)-spaces and generalized gamesGeneralized selection theorems without convexityEquivalent forms of a generalized KKM theorem and their applicationsAbstract convexity and generalizations of Himmelberg type fixed-point theoremsWeak Pareto equilibria for generalized constrained multiobjective games in locally \(FC\)-spacesCollective fixed points, generalized games and systems of generalized quasi-variational inclusion problems in topological spacesFunction and colorful extensions of the KKM theoremSystem of generalized vector quasi-equilibrium problems in locally FC-spacesFixed point theorems in locally \(G\)-convex spacesPareto equilibria for generalized constrained multiobjective games in \(FC\)-spaces without local convexity structureCollective fixed point theorem and coincidence theorems in \(FC\)-spacesApplications of general infimum principles to fixed-point theory and game theoryMinimax inequalities and fixed points of expansive set-valued mappings with noncompact and nonconvex domains and ranges in topological spacesSystems of generalized vector quasi-variational inclusions and systems of generalized vector quasi-optimization problems in locally \(FC\)-uniform spacesMaximal elements of a family of \(G_{\mathcal B}\)-majorized mappings in product FC-spaces and applicationsApproximate fixed point theorems for the class of almost S-KKM\(_{\mathcal C}\) mappings in abstract convex uniform spacesGeneralized convex spaces, \(L\)-spaces, and \(FC\)-spacesComments on abstract convexity structures on topological spacesFixed point theorems and existence of equilibrium points of noncompact abstract economies for \(\mathcal L_F^*\)-majorized mappings in FC-spacesAn intersection theorem in \(L\)-convex spaces with applicationsGeneralized \(L\)-KKM type theorems in \(L\)-convex spaces with applicationsS-G-L-KKM theorems in L-convex space and their applications to minimax inequalitiesContinuous selection theorem, coincidence theorem, and generalized equilibrium in \(L\)-convex spaces



Cites Work


This page was built for publication: Abstract convexity and fixed points