Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (2): 171-177.

• Articles • Previous Articles     Next Articles

ON THE EXISTENCE OF ZERO POINTS OF A CONTINUOUS FUNCTION

 J.M. Soriano   

  1. Departamento de An´alisis Matem´atico, Facultad de Matem´aticas,
    Universidad de Sevilla, Aptdo. 1160, Sevilla 41080, Spain
  • Online:2002-04-15 Published:2002-04-15
  • Supported by:

    This work is partially supported by D.G.E.S. PB96-1338-CO2-01 and the Junta de Andaluc´?a.

Abstract:

A sufficient condition is given to assert that a continuous mapping between Rm and Rn 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.

CLC Number: 

  • 58C30
Trendmd