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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 ε-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 ε-solution of vector variational inequalities.
MSC:
58E35Variational inequalities (global problems)
58E17Pareto optimality, etc., applications to economics (variational methods in infinite-dimensional spaces)
90C46Optimality conditions, duality
References:
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