Sufficiency and duality in interval-valued variational programming

被引：0
作者：
I. Ahmad
Anurag Jayswal
S. Al-Homidan
Jonaki Banerjee
机构：
[1] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
[2] Indian School of Mines,Department of Applied Mathematics
来源：
Neural Computing and Applications | 2019年 / 31卷
关键词：
Interval-valued problem; Invexity; LU optimal; Sufficiency; Duality; 90C26; 90C30; 90C46;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present paper, we focus our study on an interval-valued variational problem and derive sufficient optimality conditions by using the notion of invexity. In order to relate the primal interval-valued variational problem and its dual, several duality results, viz., weak, strong and converse duality results are established. Further, the Lagrangian function for the considered interval-valued variational problem is defined and we present some relations between an optimal solution of the considered interval-valued variational problem and a saddle point of the Lagrangian function. In order to illustrate the results proved in the paper, some examples of interval-valued variational problems have been formulated.
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页码：4423 / 4433
页数：10
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