Bibliographic Details
| Title: |
Lagrange Duality and Saddle Point Optimality Conditions for Multiobjective Semi-Infinite Programming with Vanishing Constraints. |
| Authors: |
Le Thanh Tung1 lttung@ctu.edu.vn, Dang Hoang Tam1, Tran Thien Khai2,3,4 |
| Source: |
Numerical Functional Analysis & Optimization. 2024, Vol. 45 Issue 1, p44-81. 38p. |
| Subjects: |
Lagrange problem, Constraint programming |
| Abstract: |
The objective of this paper is to investigate multiobjective semiinfinite 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
