Gap Functions and Existence of Solutions to Set-Valued Vector Variational Inequalities
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摘要: The variational inequality problem with set-valued mappings is very useful in economics and nonsmooth optimization. In this paper, we study the existence of solutions formulation solution methods for vector inequalities (VVI) mappings. We introduce gap functions establish necessary sufficient conditions a VVI. It shown that optimization formulated by using can be transformed into semi-infinite programming problem. investigate also generalized VVI mapping virtue single-valued function continuous selection theorem.
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