Generalized Vector Equilibrium Problems in Generalized Convex Spaces

X. P. Ding and J. Y. Park

Journal of Optimization Theory and Applications, 2004, vol. 120, issue 2, No 5, 327-353

Abstract: Abstract In this paper, we introduce and study a class of abstract generalized vector equilibrium problems (AGVEP) in generalized convex spaces which includes most vector equilibrium problems, vector variational inequality problems, generalized vector equilibrium problems, and generalized vector variational inequality problems as special cases. By using the generalized GKKM and generalized SKKM type theorems due to the first author, some new existence results of equilibrium points for the AGVEP are established in noncompact generalized convex spaces. As consequences, some recent results in the literature are obtained under much weaker assumptions.

Keywords: Abstract generalized vector equilibrium problems; generalized GKKM mappings; generalized SKKM mappings; G-convex spaces (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1023/B:JOTA.0000015687.95813.a0

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