Closedness of the optimal solution sets for general vector alpha optimization problems

Authors

  • T. Su Department of Mathematics, Quang Nam University, 102 Hung Vuong, Tamky, Vietnam
  • D. Hang Department of Basic Sciences, Thai Nguyen University of Information and Communication Technology, Thai Nguyen, Vietnam

Abstract

The aim of paper is to study the closedness of the optimal solution sets for general vector alpha optimization problems in Hausdorff locally convex topological vector spaces. Firstly, we present the relationships between the optimal solution sets of primal and dual general vector alpha optimization problems. Secondly, making use of the upper semicontinuity of a set-valued mapping, we discuss the results on closedness of the optimal solution sets for general vector alpha optimization problems in infinite dimensional spaces.

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Published

2020-04-06

How to Cite

Su, T., & Hang, D. (2020). Closedness of the optimal solution sets for general vector alpha optimization problems. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 11(1), 1-14. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/518

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Section

Research Article