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.
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.
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.
最后，利用择一性定理，获得了含不等式和等式约束的广义次似凸集值映射向量最优化问题的最优性条件。
Finally, the optimality conditions for vector optimization problems with set valued maps with equality and inequality constraints are obtained with it.
进行了研究，利用非线性二择一不动点定理建立了问题正解的一个存在性原则。
By using nonlinear alternative fixed_point theorem, a existence principle of positive solutions to this problem are established.
进行了研究，利用非线性二择一不动点定理建立了问题正解的一个存在性原则。
By using nonlinear alternative fixed_point theorem, a existence principle of positive solutions to this problem are established.
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