On the upper C-continuity on the solution set of general vector alpha optimization problems in infinite-dimensional spaces

Communications in Optimization Theory · 2018

In this paper, we present some important properties on the upper C-continuity as well as the C-boundedness of set-valued mappings on the solutions set of general vector alpha optimization problems in Hausdorff locally convex topological vector spaces.As applications, we provide some important properties on the upper (-C)-continuity as well as the (-C)boundedness of set-valued mappings on the solutions set of dual general vector alpha optimization problems in Hausdorff locally convex topological vector spaces.

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