Optimality conditions and duality results for non-differentiable interval optimization problems

被引：15

作者：

Bhurjee, Ajay Kumar ^{[1
]}

Padhan, Saroj Kumar ^{[2
]}

机构：

[1] Natl Inst Sci & Technol, Palur Hills, Berhampur 761008, Orissa, India

[2] Veer Surendra Sai Univ Technol, Burla 768018, India

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2016年 / 50卷 / 1-2期

关键词：

Interval optimization problem; Non-differential optimization problem; Efficient solution; Convex function;

D O I：

10.1007/s12190-014-0858-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In present study, an interval optimization problem is addressed in which both objective and constraint functions are non-differentiable. The existence of the solution for this problem is investigated. Further, the necessary and sufficient optimality conditions are explored. Moreover, the weak and strong duality relations between the primal and the corresponding dual interval optimization problem are established. Counterexamples are discussed to justify the present work.

引用

页码：59 / 71

页数：13

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