Approximate Optimal Solutions for Multiobjective Optimization Problems with Infinite Constraints

被引：0
|
作者：
Thanh-Hung Pham
机构：
[1] Kien Giang University,Faculty of Pedagogy and Faculty of Social Sciences and Humanities
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2024年 / 47卷
关键词：
Approximate optimality condition; Approximate duality theorem; Approximate saddle point theorem; Constraint qualification; Generalized convexity; Mordukhovich/limiting subdifferential; 49J52; 49K27; 90C26; 90C34; 90C46; 90C47;
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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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