Abstract
In this paper, both the Wolfe type and Mond-Weir type dual problems for a class of nondifferentiable multiobjective programs in which every component of the objective function contains a term involving the support function of a compact convex set are formulated. Weak duality theorems are established under suitable conditions. A special case which appears repeatedly in the literature is that the support function is the square root of a positive semidefinite quadratic form. This and other special cases can be readily generated from our results.
| Original language | English |
|---|---|
| Pages (from-to) | 999-1005 |
| Number of pages | 7 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 252 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 15 Dec 2000 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics