Nonsmooth multiobjective continuous-time problems with generalized invexity

被引：0
|
作者：
S. Nobakhtian
机构：
[1] University of Isfahan,Department of Mathematics
[2] Institute for Studies in Theoretical Physics and Mathematics (IPM),School of Mathematics
来源：
Journal of Global Optimization | 2009年 / 43卷
关键词：
Continuous-time problems; Multiobjective programming; Efficient solution; Duality; Nonsmooth analysis; 90C46; 90C29; 49J52;
D O I：
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学科分类号：
摘要：
A nonsmooth multiobjective continuous-time problem is considered. The definition of invexity and its generalizations for continuous-time functions are extended. Then, optimality conditions under generalized invexity assumptions are established. Subsequently, these optimality conditions are utilized as a basis for formulating dual problems. Duality results are also obtained for Wolfe as well as Mond-Weir type dual, using generalized invexity on the functions involved.
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页码：593 / 606
页数：13
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