We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Scalarization of $$\epsilon $$ -Super Efficient Solutions of Set-Valued Optimization Problems in Real Ordered Linear Spaces.
- Authors
Zhou, Zhi-Ang; Yang, Xin-Min
- Abstract
In this paper, we investigate the scalarization of $$\epsilon $$ -super efficient solutions of set-valued optimization problems in real ordered linear spaces. First, in real ordered linear spaces, under the assumption of generalized cone subconvexlikeness of set-valued maps, a dual decomposition theorem is established in the sense of $$\epsilon $$ -super efficiency. Second, as an application of the dual decomposition theorem, a linear scalarization theorem is given. Finally, without any convexity assumption, a nonlinear scalarization theorem characterized by the seminorm is obtained.
- Subjects
VECTOR spaces; DECOMPOSITION method; MATHEMATICAL optimization; LINEAR algebra; SCALAR field theory
- Publication
Journal of Optimization Theory & Applications, 2014, Vol 162, Issue 2, p680
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-014-0565-z