To dual-space theory of set-valued optimization
Conference Paper in Published Proceedings
Mathematics and Computer Science
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.
Truong, Bao Q., and Boris S. Mordukhovich. "To Dual-Space Theory of Set-Valued Optimization." Vietnam Journal of Mathematics 40.2&3 (2012): 131-163.