SECOND-ORDER OPTIMALITY CONDITIONS FOR NONSMOOTH MULTIOBJECTIVE OPTIMIZATION SUBJECTED TO MIXED CONSTRAINTS

被引：0

作者：

Tung, Nguyen Minh ^{[1
]}

Cuong, Nguyen Minh ^{[2
]}

机构：

[1] Department of Data Science of Business, Ho Chi Minh University of Banking, Ho Chi Minh City

[2] Department of Mathematics and Computing, University of Science, Vietnam National University, Ho Chi Minh City

来源：

Applied Set-Valued Analysis and Optimization | 2025年 / 7卷 / 01期

关键词：

Efficient solutions; Multiobjective optimization; Nonsmooth optimization; Second-order optimality conditions;

D O I：

10.23952/asvao.7.2025.1.03

中图分类号：

学科分类号：

摘要：

This paper provides some second-order optimality conditions for local weak and strict efficient solutions to a nonsmooth multiobjective optimization problem subjected to both equality and inequality constraints. We first propose a type of second-order Abadie constraint qualification (CQ) and give a sufficient condition for this CQ with the help of the property of local error bound. Then, we employ it to obtain primal necessary conditions. A primal sufficient condition is also established. We next employ some alternative theorems to obtain the corresponding dual results. Applications to nonsmooth fractional programming problems are given. Finally, some examples are provided to illustrate our results. ©2025 Applied Set-Valued Analysis and Optimization.

引用

页码：39 / 55

页数：16

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