Then relative interior is introduced and an alternative theorem of generalized convex set-valued maps is established by using the separation theorem.

引进了相对内部，应用凸集分离定理建立了一个广义凸集值映射的择一性定理。

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In chapter 2, we introduce the knowledge that the paper use, introducing these conception of cone, cone convex set-valued maps, tangent cones, and tangent derivatives of set-valued mapping, etc.

第二章是预备知识，介绍了锥、锥凸集值函数、切锥与集值映射的切导数等的相关知识。

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The problem of the existence of a cone subdifferential for the cone convex set valued maps in the locally convex, linear and topological vector space is discussed.

在局部凸线性拓扑向量空间讨论了一种锥凸集值映射的锥次微分的存在性问题，证明了几个锥次微分的存在定理。

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