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- Title
Mathematical Programs with Vector Optimization Constraints.
- Authors
Liou, Y. C.; Yang, X. Q.; Yao, J. C.
- Abstract
In this paper, we introduce mathematical programs with vector optimization constraints. For these problems, we establish two models in both the weak Pareto solution and Pareto solution setting. Some new existence results are obtained under rather weak conditions. We establish also equivalences between mathematical programs with vector optimization constraints and mathematical programs with vector variational inequality constraints.
- Subjects
MATHEMATICAL programming; MATHEMATICAL optimization; VARIATIONAL inequalities (Mathematics); GROUP decision making; CALCULUS of variations; DIFFERENTIAL inequalities
- Publication
Journal of Optimization Theory & Applications, 2005, Vol 126, Issue 2, p345
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-005-4720-4