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Approximate solutions and optimality conditions of vector variational inequalities in Banach spaces. (English) Zbl 1143.58007
Authors’ abstract: We introduce and discuss the notion of $\epsilon$-solutions of vector variational inequalities. Using convex analysis and nonsmooth analysis, we provide some sufficient conditions and necessary conditions for a point to be an $\epsilon$-solution of vector variational inequalities.
##### MSC:
 58E35 Variational inequalities (global problems) 58E17 Pareto optimality, etc., applications to economics (variational methods in infinite-dimensional spaces) 90C46 Optimality conditions, duality
##### References:
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