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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:264

Article

Huang, XX ; Yang, XQ

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

DOI  :  10.1006/jmaa.2001.7635

来源: Elsevier

【 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.

【 授权许可】

Free