ON INTERVAL-VALUED PROGRAMMING PROBLEM WITH INVEX FUNCTIONS

被引：0

作者：

Jayswal, Anurag ^{[1
]}

Stancu-Minasian, Ioan ^{[2
]}

Banerjee, Jonaki ^{[1
]}

机构：

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

[2] Romanian Acad, Inst Math Stat & Appl Math, 13 Septembrie St,13, Bucharest 050711, Romania

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2016年 / 17卷 / 03期

关键词：

Interval-valued programming; invexity; LU-optimal; sufficiency; duality; OPTIMIZATION PROBLEMS; DUALITY; SUFFICIENCY; OPTIMALITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we focus our attention on an optimization problem with interval-valued objective and constraint functions. Sufficient optimality conditions are derived for feasible solution to be a LU optimal solution under invexity assumption. Furthermore, we formulate Wolfe and Mond-Weir type duals and establish appropriate duality theorems in order to relate the LU optimal solution of primal and dual programs. We also construct examples to illustrate the weak duality theorems.

引用

页码：549 / 567

页数：19

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