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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