OPTIMALITY CONDITIONS AND DUALITY FOR E-DIFFERENTIABLE SEMI-INFINITE PROGRAMMING WITH MULTIPLE INTERVAL-VALUED OBJECTIVE FUNCTIONS UNDER GENERALIZED E-CONVEXITY

被引：2
|
作者：
Le Thanh Tung [1 ]
机构：
[1] Can Tho Univ, Dept Math, Coll Nat Sci, Can Tho 900000, Vietnam
来源：
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2020年 / Mathematical Research Press卷 / 2020期
关键词：
E-differentiable semi-infinite programming; Multiple interval-valued objective functions; Karush-Kuhn-Tucker optimality conditions; E-Mond-Weir duality; E-Wolfe duality; SETS;
D O I：
10.23952/jnfa.2020.21
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, optimality conditions and duality for E-differentiable semi-infinite programming with multiple interval-valued objective functions are investigated. We first establish KarushKuhn-Tucker necessary and sufficient optimality conditions for some types of efficient solutions of E-differentiable semi-infinite programming with multiple interval-valued objective functions. Then, we propose E-Wolfe and E-Mond-Weir type duality for the E-differentiable semi-infinite programming with multiple interval-valued objective functions, and explore weak and strong duality relations under generalized E-convexity.
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页数：17
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