使用广义 (h,φ)-G-type I 函数的具有半无限约束条件的多目标程序设计模型中的最优性条件

Q3 Mathematics

Results in Control and Optimization Pub Date : 2024-02-07 DOI:10.1016/j.rico.2024.100395

Tareq Saeed , Vinay Singh , Savin Treanţă , Solomon Lalmalsawma

引用次数: 0

摘要

本文结合（h,φ）可微函数、G-凸函数和 I 型函数的概念，引入了一类新的广义（h,φ）-G-I 型向量值函数。利用这些新概念，我们提出并证明了所考虑问题 (GMP)h,φ 的充分最优条件。此外，我们还研究了蒙德-韦尔类型的对偶问题，即 (GMWD)h,φ，并建立了几个对偶性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h,φ)-G-type I functions

In this paper, we introduce a new class of generalized $(h, φ)$ -G-type I vector-valued functions, by combining the notions of $(h, φ)$ -differentiable functions, $G$ -invex functions, and type I functions. By using these new concepts, we formulate and prove the sufficient optimality conditions for the considered problem (GMP) $_{h, φ}$ . In addition, we investigate a dual problem of Mond–Weir type, called (GMWD) $_{h, φ}$ , and establish several duality results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Results in Control and Optimization Mathematics-Control and Optimization

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

91 days