| ON THE EXISTENCE OF ZERO POINTS OF A CONTINUOUS FUNCTION |
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| 作者姓名： | J.M. SorianoDepartamento de Andlisis Matematico Facultad de Matemdticas Universidad de Sevilla Aptdo. Sevilla Spain |
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| 作者单位： | J.M. SorianoDepartamento de Andlisis Matematico，Facultad de Matemdticas，Universidad de Sevilla，Aptdo. 1160，Sevilla 41080，Spain |
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| 基金项目： | This work is partially supported by D.G.E.S. PB 96-1338-CO2-01 and the Junta de Andalucla. |
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| 摘 要： | IPreliminarlesTheee。etOOk totot比OO。stsllCCdCSdO‘lOll‘。山OOqll时1OO/(。)＝。,SS山 SFSSdPoint Theorems‘’,”],Degree Theory【9,15]．In general these are used when f aPPlies a set ora space on itself．Cm眈inn眈ion Methods can be used to test the existence ofa solution whenf pplies a set or a sp。e on it咖‘－’,”－“l,or aPPlies a set or sP。m another sP。,s。M see here．wrthermore,contlnuulon methods pve us the exlstence ofcurves wb讪 can beused to CalCttlue the Sdutionsl6…
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ON THE EXISTENCE OF ZERO POINTS OF A CONTINUOUS FUNCTION |
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| J.M. SorianoDepartamento de Andlisis Matematico,Facultad de Matemdticas,Universidad de Sevilla,Aptdo. ,Sevilla ,Spain.ON THE EXISTENCE OF ZERO POINTS OF A CONTINUOUS FUNCTION[J].Acta Mathematica Scientia,2002,22(2). |
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| Authors: | JMSoriano |
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| 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. |
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| Keywords: | Zero point continuation methods Banach fixed point theorem homotopy topological direct sum isomorphism k-contractive mapping |
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