Nonempty intersection theorems and system of generalized vector equilibrium problems in product \(G\)-convex spaces

DOI10.1007/BF02438204zbMath1069.49004OpenAlexW2038428663MaRDI QIDQ2388225

Xie Ping Ding

Publication date: 9 September 2005

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02438204

zbMATH Keywords

set-valued mappingsvector variational inequalitygeneralized vector equilibrium problemsnonempty intersection theoremproduct \(G\)-convex spaces

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53) General equilibrium theory (91B50)

Related Items (5)

Solutions of system of generalized vector quasi-equilibrium problems in locally \(G\)-convex uniform spaces ⋮ Nonempty intersection theorems and generalized multi-objective games in product \(FC\)-spaces ⋮ Intersection theorems, coincidence theorems and maximal-element theorems in GFC-spaces ⋮ Solvability of a system of vector equilibrium problems involving topological pseudomonotonicity ⋮ System of generalized vector quasi-equilibrium problems in locally FC-spaces

Cites Work

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• Coincidence theorems for admissible multifunctions on generalized convex spaces
• An existence result for the generalized vector equilibrium problem
• Systems of generalized variational inequalities and their applications^∗
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