- Title
- Vector optimization problems with nonconvex preferences
- Creator
- Huang, N. J.; Rubinov, Alex; Yang, Xiao
- Date
- 2008
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/43546
- Identifier
- vital:419
- Identifier
-
https://doi.org/10.1007/s10898-006-9113-1
- Identifier
- ISSN:0925-5001
- Abstract
- In this paper, some vector optimization problems are considered where pseudo-ordering relations are determined by nonconvex cones in Banach spaces. We give some characterizations of solution sets for vector complementarity problems and vector variational inequalities. When the nonconvex cone is the union of some convex cones, it is shown that the solution set of these problems is either an intersection or an union of the solution sets of all subproblems corresponding to each of these convex cones depending on whether these problems are defined by the nonconvex cone itself or its complement. Moreover, some relations of vector complementarity problems, vector variational inequalities, and minimal element problems are also given. © 2007 Springer Science+Business Media, Inc.; C1
- Publisher
- Springer
- Relation
- Journal of Global Optimization Vol. 40, no. 4 (2008), p. 765-777
- Rights
- Copyright Springer
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0103 Numerical and Computational Mathematics; Nonconvex cone; Vector complementarity problem; Vector optimisation; Vector variational inequality; Banach space; Optimisation; Problem solving; Vectors
- Reviewed
- Hits: 3815
- Visitors: 3710
- Downloads: 2
| Thumbnail | File | Description | Size | Format |
|---|