Optimality conditions and duality in nonsmooth multiobjective optimization problems

被引：0
|
作者：
Thai Doan Chuong
Do Sang Kim
机构：
[1] Saigon University,Department of Mathematics & Applications
[2] Pukyong National University,Department of Applied Mathematics
来源：
Annals of Operations Research | 2014年 / 217卷
关键词：
Optimality condition; Duality; The (KKT) condition; Limiting subdifferential; -invex-infine function; Multiobjective optimization; 49K99; 65K10; 90C29; 90C46;
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摘要：
Exploiting some tools of modern variational analysis involving the approximate extremal principle, the fuzzy sum rule for the Fréchet subdifferential, the sum rule for the limiting subdifferential and the scalarization formulae of the coderivatives, we establish necessary conditions for (weakly) efficient solutions of a multiobjective optimization problem with inequality and equality constraints. Sufficient conditions for (weakly) efficient solutions of an aforesaid problem are also provided by means of employing L-(strictly) invex-infine functions defined in terms of the limiting subdifferential. In addition, we introduce types of Wolfe and Mond–Weir dual problems and investigate weak/strong duality relations.
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页码：117 / 136
页数：19
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