A second zero of a function

Authors:
J. M. Soriano
Affiliations:
Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Apdo. de Correos 1160, Sevilla E-41080, Spain
Venue:
Applied Mathematics and Computation
Year:
2002

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Abstract

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.