Approximate Optimal Solutions for Multiobjective Optimization Problems with Infinite Constraints

被引：2
|
作者：
Pham, Thanh-Hung [1 ,2 ]
机构：
[1] Kien Giang Univ, Fac Pedag, Chau Thanh, Kien Giang, Vietnam
[2] Kien Giang Univ, Fac Social Sci & Humanities, Chau Thanh, Kien Giang, Vietnam
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2024年 / 47卷 / 03期
关键词：
Approximate optimality condition; Approximate duality theorem; Approximate saddle point theorem; Constraint qualification; Generalized convexity; Mordukhovich/limiting subdifferential; PROGRAMMING-PROBLEMS; SEMIINFINITE; DUALITY; NUMBER;
D O I：
10.1007/s40840-024-01666-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we use the Mordukhovich/limiting subdifferential to establish approximate optimality conditions/approximate duality theorems/approximate saddle point theorems for multiobjective optimization problems with infinite constraints. The main results obtained in this paper are new and extend some corresponding known results. Some examples are given for the illustration of our results.
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页数：35
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