Tran Van Su, On the upper C-continuity on the solution set of general vector alpha optimization problems in infinite-dimensional spaces, Vol. 2018 (2018), Article ID 2, pp. 1-10

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DOI: 10.23952/cot.2018.2

Received July 17, 2017; Accepted December 21, 2017; Published January 12, 2018

 

Abstract. 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.

 

How to Cite this Article:
Tran Van Su, On the upper C-continuity on the solution set of general vector alpha optimization problems in infinite-dimensional spaces, Communications in Optimization Theory, Vol. 2018 (2018), Article ID 2, pp. 1-10.