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

Published: 2011/05/03

Generalized Convexity/Monoticity, Multi-Criteria Optimization relative algebraic interior $\cdot$~generalized cone subconvexlikeness $\cdot$~set-valued map$\cdot$~separation property$\cdot$~optimality condition Short URL: https://optimization-online.org/?p=11569

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.

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{\bf AMS 2010 Subject Classifications:} 90C26, 90C29, 90C30

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