Optimality and duality for E-minimax fractional programming: application to multiobjective optimization

被引：3
|
作者：
Pokharna, Nisha [1 ]
Tripathi, Indira P. [1 ]
机构：
[1] SVNIT, Dept Math & Humanities, Surat 395007, Gujarat, India
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2023年 / 69卷 / 03期
关键词：
E-minimax fractional problem; Strong E-invexity; Optimality; Duality; SETS;
D O I：
10.1007/s12190-023-01838-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the notion of strong invexity with respect to the E-operator. We discuss the necessary and sufficient conditions for the considered E-minimax fractional programming problem. Wolfe dual has been presented for the considered problem, and weak, strong, and strict converse duality theorems have been proved. Also, an application of the results derived is discussed in the context of a E-multiobjective fractional programming problem. At suitable places, nontrivial examples have been formulated with appropriate justification.
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页码：2361 / 2388
页数：28
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