Generalized vector equilibrium problems in generalized convex spaces

DOI10.1023/B:JOTA.0000015687.95813.a0zbMath1100.90054MaRDI QIDQ597149

Jong Yeoul Park, Xie Ping Ding

Publication date: 6 August 2004

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

zbMATH Keywords

Abstract generalized vector equilibrium problemsG-convex spacesgeneralized GKKM mappingsgeneralized SKKM mappings

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Variational inequalities (49J40) General equilibrium theory (91B50) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

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Cites Work

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• On the use of KKM multifunctions in fixed point theory and related topics
• Some properties of convex sets related to fixed point theorems
• Generalized KKM theorem and variational inequalities
• Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity
• On some generalized quasi-equilibrium problems
• Existence of equilibria for monotone multivalued mappings
• New H-KKM theorems and their applications to geometric property, coincidence theorems, minimax inequality and maximal elements
• Vector equilibrium problems with generalized monotone bifunctions
• Foundations of the KKM theory on generalized convex spaces
• A generalization of vectorial equilibria
• A remark on vector-valued equilibria and generalized monotonicity
• Fixed points and generalized vector equilibrium problems in generalized convex spaces.
• On implicit vector variational inequalities
• Vector variational inequalities and vector equilibria. Mathematical theories
• Generalized G-KKM theorems in generalized convex spaces and their applications
• Coincidence theorems for admissible multifunctions on generalized convex spaces
• The generalized vector quasi-variational-like inequalities
• Generalized variational inequalities and equilibrium problems in generalized convex spaces
• General KKM theorem with applications to minimax and variational inequalities
• An existence result for the generalized vector equilibrium problem
• S-KKM theorems, saddle points and minimax inequalities
• A Note On Generalized Vector Variational-Like Inequalities
• G-KKM theorem, minimax inequalities and saddle points
• On the existence of equilibrium points of vector functions
• Fixed-point theorems and equilibrium problems

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