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On Implicit Vector Variational Inequalities
Authors:Lee  G. M.  Kum  S. H.
Affiliation:(1) Department of Applied Mathematics, Pukyong National University, Pusan, Korea;(2) Department of Applied Mathematics, Korea Maritime University, Pusan, Korea
Abstract:
In this paper, we study the existence of solutions of implicit vector variational inequalities for multifunctions. Generalized pseudomonotonicity concepts are introduced. Our results extend and unify corresponding earlier existence results of many authors for vector variational inequalities under the Hausdorff topological vector space setting.
Keywords:vector variational inequalities  weakly C-pseudomonotone operators  v-hemicontinuous operators  Fan–  Browder fixed-point theorem
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