Optimality Conditions and Duality for Nonsmooth Fractional Continuous-Time Problems

被引：2
|
作者：
Nobakhtian, S. [1 ]
Pouryayevali, M. R. [1 ]
机构：
[1] Univ Isfahan, Dept Math, Esfahan, Iran
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2012年 / 152卷 / 01期
关键词：
Continuous-time problems; Optimality conditions; Duality; Nonsmooth analysis;
D O I：
10.1007/s10957-010-9693-2
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we consider a class of nonsmooth fractional continuous-time problems. Optimality conditions under certain structure of generalized invexity are derived for this class. Subsequently, two parameter-free dual models are formulated. Finally weak, strong, and strict converse duality theorems are proved in the framework of generalized invexity.
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页码：245 / 255
页数：11
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