Lagrange Duality and Saddle Point Optimality Conditions for Multiobjective Semi-Infinite Programming with Vanishing Constraints

被引：1

作者：

Tung, Le Thanh ^{[1
]}

Tam, Dang Hoang ^{[1
]}

Khai, Tran Thien ^{[2
,3
,4
]}

机构：

[1] Can Tho Univ, Coll Nat Sci, Dept Math, Can Tho, Vietnam

[2] Univ Sci, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam

[3] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

[4] Tra Vinh Univ, Ctr Training & Enterprise Cooperat, Tra Vinh, Vietnam

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2024年 / 45卷 / 01期

关键词：

Multiobjective semi-infinite programming; saddle point optimality conditions; scalarized Lagrange dual problems; vanishing constraints; vector Lagrange dual problems; MATHEMATICAL PROGRAMS;

D O I：

10.1080/01630563.2024.2305347

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to investigate multiobjective semi-infinite programming problems with vanishing constraints (in brief, MSIPVC). We firstly propose both the vector Lagrange dual problems and the scalarized Lagrange dual problems for MSIPVC and explore duality relations under convexity assumptions. Then, the saddle point optimality conditions for MSIPVC are considered. Some examples are also given to illuminate the main results.

引用

页码：44 / 81

页数：38

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