Levitin-Polyak well-posedness for generalized semi-infinite multiobjective programming problems

Journal of inequalities and applications

Xian-Jun Long¹ 

关键词: generalized semi-infinite multiobjective programming problem;    Levitin-Polyak well-posedness;    approximate solution map;    metric characterization;    upper semi-continuity;    90C29;    90C34;    49K40;   

DOI  :  10.1186/s13660-015-0958-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce a notion of Levitin-Polyak well-posedness for generalized semi-infinite multiobjective programming problems in terms of weakly efficient solutions. We obtain some metric characterizations of Levitin-Polyak well-posedness for this problem. We derive the relations between the Levitin-Polyak well-posedness and the upper semi-continuity of approximate solution maps for generalized semi-infinite multiobjective programming problems. Examples are given to illustrate our main results.

【 授权许可】

CC BY