Some properties of approximate solutions for vector optimization problem with set-valued functions

被引：0
作者：
Qiusheng Qiu
Xinmin Yang
机构：
[1] Shanghai University,Department of Mathematics
[2] Zhejiang Normal University,Department of Mathematics
[3] Chongqing Normal University,Department of Mathematics
来源：
Journal of Global Optimization | 2010年 / 47卷
关键词：
Vector optimization; Set-valued function; Scalarization; Approximate solution; Quasiconvex set-valued function; 90C26; 90C29; 90C59;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the approximate solutions for vector optimization problem with set-valued functions. The scalar characterization is derived without imposing any convexity assumption on the objective functions. The relationships between approximate solutions and weak efficient solutions are discussed. In particular, we prove the connectedness of the set of approximate solutions under the condition that the objective functions are quasiconvex set-valued functions.
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页码：1 / 12
页数：11
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