Abstract
In this paper, a class of generalized convexity is introduced and a unified higher-order dual model for nondifferentiable multiobjective programs is described, where every component of the objective function contains a term involving the support function of a compact convex set. Weak duality theorems are established under generalized convexity conditions. The well-known case of the support function in the form of square root of a positive semidefinite quadratic form and other special cases can be readily derived from our results.
Original language | English |
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Pages (from-to) | 48-55 |
Number of pages | 8 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 297 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Sept 2004 |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics