Geometric properties and coincidence theorems with applications to generalized vector equilibrium problems

DOI10.1023/A:1023656507786zbMath1063.90062OpenAlexW2136172341MaRDI QIDQ1411495

D. Massart

Publication date: 29 October 2003

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023656507786

zbMATH Keywords

generalized vector equilibrium problemsfixed-point theoremscoincidence theoremsFan-KKM type theoremmaximal pseudomonotone maps

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) General equilibrium theory (91B50) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (41)

Semicontinuity of approximate solution mappings to generalized vector equilibrium problems ⋮ Mathematical programs with equilibrium constraints: the existence of feasible point ⋮ General existence theorems, alternative theorems and applications to minimax problems ⋮ Generalized KKM type theorems in FC-spaces with applications. I ⋮ The solution existence of general variational inclusion problems ⋮ Systems of quasi-variational relations with applications ⋮ Existence theorems for systems of generalized vector quasiequilibrium problems and optimization problems ⋮ Generalized vector quasi-equilibrium problems with applications to common fixed point theorems and optimization problems ⋮ Lower semicontinuity of approximate solution mappings for a parametric generalized strong vector equilibrium problem ⋮ Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems ⋮ Coincidence theorems and minimax inequalities in abstract convex spaces ⋮ Uniqueness and Hölder continuity of the solution to multivalued equilibrium problems in metric spaces ⋮ KKM type theorems and generalized vector equilibrium problems in noncompact FC-spaces ⋮ KKM type theorems with applications to generalized vector equilibrium problems in FC-spaces ⋮ Generalized vector quasivariational inclusion problems with moving cones ⋮ Henig proper generalized vector quasiequilibrium problems ⋮ On the Brézis Nirenberg Stampacchia-type theorems and their applications ⋮ Set valued equilibrium problems without linear structure ⋮ Strong vector equilibrium problems ⋮ Coincidence and maximal element theorems and their applications to generalized equilibrium problems and minimax inequalities ⋮ Weak-equilibrium problems in \(G\)-convex spaces ⋮ Semicontinuity of approximate solution mappings for parametric generalized weak vector equilibrium problems ⋮ Generalized KKM type theorems in FC-spaces with applications. II ⋮ On the stability of the solution sets of general multivalued vector quasiequilibrium problems ⋮ Connectedness of the solution sets and scalarization for vector equilibrium problems ⋮ Existence of solutions to general quasiequilibrium problems and applications ⋮ Weak finite intersection characterizations of existence in optimization ⋮ Continuity of the solution set to parametric weak vector equilibrium problems ⋮ A section theorem with applications to coincidence theorems and minimax inequalities in \(FWC\)-spaces ⋮ KKM type theorems and coincidence theorems with applications to the existence of equilibria ⋮ Unnamed Item ⋮ System of generalized vector quasi-equilibrium problems with applications to fixed point theorems for a family of nonexpansive multivalued mappings ⋮ Sensitivity in mixed generalized vector quasiequilibrium problems with moving cones ⋮ Existence theorems of simultaneous equilibrium problems and generalized vector quasi-saddle points ⋮ Fixed points, coincidence points and maximal elements with applications to generalized equilibrium problems and minimax theory ⋮ On a class of generalized vector quasiequilibrium problems with set-valued maps ⋮ Generalizations of vector quasivariational inclusion problems with set-valued maps ⋮ The study of KKM theorems with applications to vector equilibrium problems and implict vector variational inequalities problems ⋮ Some results on systems of quasi-variational inclusion problems and systems of generalized quasi-variational inclusion problems ⋮ New Results on Henig Proper Generalized Vector Quasiequilibrium Problems ⋮ Existence results for primal and dual generalized vector equilibrium problems with applications to generalized semi-infinite programming

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