Characterizations of nonemptiness and compactness of the set of weakly efficient solutions for convex vector optimization and applications

[摘要] In this paper, we give characterizations for the nonemptiness and compactness of the set of weakly efficient solutions of an unconstrained/constrained convex vector optimization problem with extended vector-valued functions in terms of the 0-coercivity of some scalar functions. Finally, we apply these results to discuss solution characterizations of a constrained convex vector optimization problem in terms of solutions of a sequence of unconstrained vector optimization problems which are constructed with a general nonlinear Lagrangian. (C) 2001 Elsevier Science.

[发布日期] 2001-12-15

[关键词] vector optimization;weakly efficient solution;convexity;coercivity;nonlinear Lagrangian