然后，在实线性空间中建立了一个广义次似凸集值映射的择一性定理。

Then, a theorem of the alternative for generalized subconvexlike set valued maps in real linear spaces is established.

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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。

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

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在序线性空间中，利用次似凸映射的择一性定理，得出具有一般约束的向量极值问题的最优性条件。

Using the alternative theorem, the optimality conditions of vector extremum problems with generalized constraint are established in ordered linear space.

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