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- Title
Some Characterizations of Ideal Points in Vector Optimization Problems.
- Authors
Yan-Fei Chai; Yeol Je Cho; Jun Li
- Abstract
The article presents research on the characterizations of ideal points in vector optimization problems. It notes that several relations between ideal points and efficient points are derived in real linear spaces. The study shows that some sufficient conditions for the existence of proper ideal points and positive proper efficient points are proved under certain assumptions. Ideal points and efficient elements are considered relevant in investigating multiobjective optimization problems. It was found that algebra closure and vector closure are weaker than topological closure.
- Subjects
MATHEMATICAL optimization; VECTOR spaces; OPERATIONS research; VECTOR topology; TOPOLOGICAL algebras; VECTOR analysis; MATHEMATICAL analysis; SYSTEM analysis; LINEAR algebra
- Publication
Journal of Inequalities & Applications, 2008, Vol 2008, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1155/2008/231845