2017/05/19 by Luan, Nguyen Ngoc
#49N10 #90C05 #90C29 #90C48 #FOS: Mathematics #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.1705.06875
This paper establishes several new facts on generalized polyhedral convex sets and shows how they can be used in vector optimization. Among other things, a scalarization formula for the efficient solution sets of generalized vector optimization problems is obtained. We also prove that the efficient solution set of a generalized linear vector optimization problem in a locally convex Hausdorff topological vector space is the union of finitely many generalized polyhedral convex sets and it is connected by line segments.