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Optimality conditions of set-valued optimization problem involving relative algebraic interior in ordered linear spaces

Zhou Zhi-Ang (zhi\_ang***at***163.com)
Yang Xin-Min (xmyang***at***cqnu.edu.cn)
Peng Jian-Wen(jwpeng6***at***yahoo.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: 05/03/2011
Entry Accepted: 05/04/2011
Entry Last Modified: 05/03/2011

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