Nonsmooth Interval-Valued Optimization and Saddle-Point Optimality Criteria

被引：25
|
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.
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页码：1391 / 1411
页数：21
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