- Optimality conditions of set-valued optimization problem involving relative algebraic interior in ordered linear spaces Zhou Zhi-Ang (zhi\_ang163.com) Yang Xin-Min (xmyangcqnu.edu.cn) Peng Jian-Wen(jwpeng6yahoo.com.cn) Abstract: In this paper, firstly, a generalized subconvexlike set-valued map involving the relative algebraic interior is introduced in ordered linear spaces. Secondly, some properties of a generalized subconvexlike set-valued map are investigated. Finally, the optimality conditions of set-valued optimization problem are established. Keywords: Relative algebraic interior $\cdot$~Generalized cone subconvexlikeness $\cdot$~Set-valued map$\cdot$~Separation property$\cdot$~Optimality condition Category 1: Other Topics (Multi-Criteria Optimization ) Category 2: Convex and Nonsmooth Optimization (Generalized Convexity/Monoticity ) Citation: {\bf AMS 2010 Subject Classifications:} 90C26, 90C29, 90C30 Download: [Postscript][PDF]Entry Submitted: 05/03/2011Entry Accepted: 05/04/2011Entry Last Modified: 05/03/2011Modify/Update this entry Visitors Authors More about us Links Subscribe, Unsubscribe Digest Archive Search, Browse the Repository Submit Update Policies Coordinator's Board Classification Scheme Credits Give us feedback Optimization Journals, Sites, Societies Optimization Online is supported by the Mathematical Optmization Society.