Optimality conditions and duality on approximate solutions in vector optimization with arcwise connectivity

被引：0
|
作者：
C. P. Liu
H. W. J. Lee
X. M. Yang
机构：
[1] Southwestern University of Finance and Economics,College of Economic Mathematics
[2] The Hong Kong Polytechnic University,Department of Applied Mathematics
[3] Chongqing Normal University,Department of Mathematics
来源：
Optimization Letters | 2012年 / 6卷
关键词：
Arcwise connected functions; Optimality conditions; Approximate duality; Approximate solutions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper a new class of generalized vector-valued arcwise connected functions, termed sub-arcwise connected functions, is introduced. The properties of sub-arcwise connected functions are derived. The approximate quasi efficient solutions of vector optimization problems are studied, and the necessary and sufficient optimality conditions are obtained under the assumption of arcwise connectivity. An approximate Mond-Weir type dual problem is formulated and the duality theorems are established.
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页码：1613 / 1626
页数：13
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