A second zero of a function

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摘要

A sufficient condition is given to assert that a Cm−n+1 mapping between Rm and Rn which has a zero also has a second zero. The condition can still be useful for continuous mappings when m=n. The constructive proof of the result is based upon continuation methods and supplies the existence of a path linking the zero points.

论文关键词：Zero point,Continuation methods,Banach Fixed Point Theorem,Homotopy,Topological direct sum,Isomorphism,Topological degree

论文评审过程：Available online 3 September 2001.

论文官网地址：https://doi.org/10.1016/S0096-3003(01)00237-5