Existence and Optimality Conditions for Approximate Solutions to Vector Optimization Problems

被引：0
|
作者：
Y. Gao
S. H. Hou
X. M. Yang
机构：
[1] Chongqing Normal University,Department of Mathematics
[2] The Hong Kong Polytechnic University,Department of Applied Mathematics
来源：
Journal of Optimization Theory and Applications | 2012年 / 152卷
关键词：
Vector optimization problems; Approximate solutions; -efficiency; Scalarization; Limiting subdifferentials;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce a new concept of ϵ-efficiency for vector optimization problems. This extends and unifies various notions of approximate solutions in the literature. Some properties for this new class of approximate solutions are established, and several existence results, as well as nonlinear scalarizations, are obtained by means of the Ekeland’s variational principle. Moreover, under the assumption of generalized subconvex functions, we derive the linear scalarization and the Lagrange multiplier rule for approximate solutions based on the scalarization in Asplund spaces.
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页码：97 / 120
页数：23
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