一致u_0-凸算子固有向量的存在性

THE EXISTENCE OF PROPER VECTOR FOR THE UNIFORM u 0 CONVEX OPERATOR

得到了一类非线性单调算子方程存在非零解的一个充分必要条件，并给出了一致ｕ０凸算子固有向量存在性的若干结果。

The sufficient conditions for the existence of positive solutions of uniform u 0 convex operator equations are obtained.Some new existence of proper vector for the uniform u 0 convex operator in convex analysis are obtained,and some results of the theory of convex analysis are extended and developed.