A NEW APPROACH TO ZERO DUALITY GAP OF VECTOR OPTIMIZATION PROBLEMS USING CHARACTERIZING SETS

Abstract

In this paper we propose results on zero duality gap in vector optimization problems posed in a real locally convex Hausdorff topological vector space with a vector-valued objective function to be minimized under a set and a convex cone constraint. These results are then applied to  linear programming.

 Author Information

Dang Hai Long¹ and  Tran Hong Mo^2*

¹Faculty of Natural Sciences, Tien Giang University

²Office of Academic Affairs, Tien Giang University

^*Corresponding author: tranhongmo@tgu.edu.vn

Article history

Received: 25/08/2020; Received in revised form: 25/09/2020; Accepted: 28/09/2020