To dual-space theory of set-valued optimization

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Truong, Bao Q; Mordukhovich, Boris S
variational analysis; variational and extremal principles; coderivatives and subdifferentials of set-valued mappings; generalized Pareto optimality; existence of optimal solutions; Palais-Smale condition; necessary optimality conditions; sufficient optimality conditions
conference paper description
The primary goal of this paper is to review and further develop the dual-space approach to multiobjective optimization, focusing mainly on problems with set-valued objectives. This approach is based on employing advanced tools of variational analysis and generalized differentiation defined in duals to Banach spaces. Developing this approach, we present new and updated results on existence of Pareto-type optimal solutions, necessary optimality and suboptimality conditions, and also sufficient conditions for global optimality that have never been considered in the literature in such a generality.,%20so%202-3,%202012/NoiDung/131-163_Bao-Mordukhovich.pdf