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：

暂无

中图分类号：

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.

引用

页码：593 / 606

页数：13

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