Abstract
In this paper, we give characterizations for the nonemptiness and compactness of the set of weakly efficient solutions of an unconstrained/constrained convex vector optimization problem with extended vector-valued functions in terms of the 0-coercivity of some scalar functions. Finally, we apply these results to discuss solution characterizations of a constrained convex vector optimization problem in terms of solutions of a sequence of unconstrained vector optimization problems which are constructed with a general nonlinear Lagrangian.
Original language | English |
---|---|
Pages (from-to) | 270-287 |
Number of pages | 18 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 264 |
Issue number | 2 |
DOIs | |
Publication status | Published - 15 Dec 2001 |
Keywords
- Coercivity
- Convexity
- Nonlinear Lagrangian
- Vector optimization
- Weakly efficient solution
ASJC Scopus subject areas
- Analysis
- Applied Mathematics