摘要
本文利用锥的极面等概念给出了求解非线性方程组解的判别定理的一个新证明。这种证明方法不涉及光滑性、正则性及紧性等复杂理论,也不依赖于同伦和不动点原理。
In this paper,I have give a new proving of existence theorem to Fx=0(F: R^n→R^n), using conceptions of the polar of cone. This proving do notinvolve the complicated theory of the Smooth properties, regularity properties and compactness and do not depend on homotopy and fixedpoint principle either.
关键词
判别定理
锥
极面
非线性方程组
解
Existence theorem to F (x)=0, Cone, the Polar of cone, Compact—convex set
