A compactness condition

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摘要

Sufficient conditions are given to assert that a differentiable mapping between Km and Kn, where K=R or K=C, has a zero. The constructive proof of the result is based upon continuation methods and supplies the existence of a path leading to the zero point.

论文关键词:Zero point,Continuation methods,Banach fixed point theorem,C1-homotopy,Topological direct sum,Isomorphisme,k-contractive mapping

论文评审过程:Available online 27 September 2001.

论文官网地址:https://doi.org/10.1016/S0096-3003(00)00114-4