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On F-Implicit Generalized Vector Variational Inequalities
Authors:Y C Lin
Institution:(1) Department of Occupational Safety and Health and General Education Center, China Medical University, Taichung, 404, Taiwan, ROC
Abstract:In this paper, we study the F-implicit generalized (weak) case for vector variational inequalities in real topological vector spaces. Both weak and strong solutions are considered. These two sets of solutions coincide whenever the mapping T is single-valued, but not set-valued. We use the Ferro minimax theorem to discuss the existence of strong solutions for F-implicit generalized vector variational inequalities.
Keywords:F-implicit generalized (weak) vector variational inequalities  Weak solutions  Strong solutions
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