Nonsmooth Interval-Valued Optimization and Saddle-Point Optimality Criteria

被引：26

作者：

Jayswal, Anurag ^{[1
]}

Ahmad, I. ^{[2
]}

Banerjee, Jonaki ^{[1
]}

机构：

[1] Indian Sch Mines, Dept Appl Math, Dhanbad 826004, Jharkhand, India

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2016年 / 39卷 / 04期

关键词：

Interval-valued programming; Invexity; LU optimal; Sufficiency; Duality; Lagrangian function; PROGRAMMING-PROBLEMS; DUALITY; SUFFICIENCY;

D O I：

10.1007/s40840-015-0237-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we focus our attention on a nonsmooth interval-valued optimization problem and establish sufficient optimality conditions for a feasible solution to be an LU optimal solution under the invexity assumption. Appropriate duality theorems for Wolfe and Mond-Weir-type duals are presented in order to relate the LU optimal solution of primal and dual programs. Moreover, saddle-point-type optimality conditions are established in order to find relation between LU optimal solution of primal and saddle point of Lagrangian function.

引用

页码：1391 / 1411

页数：21

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