Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization

被引：0
|
作者：
Q. L. Wang
S. J. Li
K. L. Teo
机构：
[1] Chongqing University,College of Mathematics and Science
[2] Chongqing Jiaotong University,College of Sciences
[3] Curtin University of Technology,Department of Mathematics and Statistics
来源：
Optimization Letters | 2010年 / 4卷
关键词：
Nonconvex set-valued optimization; Generalized higher-order contingent (adjacent) derivatives; Gerstewitz’s nonconvex separation functional; Weakly efficient solutions; Higher-order optimality conditions;
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摘要：
In this paper, generalized higher-order contingent (adjacent) derivatives of set-valued maps are introduced and some of their properties are discussed. Under no any convexity assumptions, necessary and sufficient optimality conditions are obtained for weakly efficient solutions of set-valued optimization problems by employing the generalized higher-order derivatives.
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页码：425 / 437
页数：12
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