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Applied Mathematics and Mechanics >

2006 , Vol. 27 >Issue 9: 1265 - 1274

DOI: https://doi.org/10.1007/s10483-006-0914-z

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A REGULAR VALUE OF COMPACT DEFORMATION

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  • Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Aptdo. 1160, Sevilla 41080, Spain

Received date: 2005-09-01

  Revised date: 2006-05-28

  Online published: 2006-09-18

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Abstract

Sufficient conditions were given to assert that between any two Banach spaces over K, Fredholm mappings share at least one value in a specific open ball. The proof of the result is constructive and based upon continuation methods.

Key words： regular value; continuation methods; continuous dependence theorem; C1-homotopy; proper mapping; compact mapping; Fredholm mapping; topological complement; Sard-Smale theorem

Cite this article

J. M. Soriano . A REGULAR VALUE OF COMPACT DEFORMATION[J]. Applied Mathematics and Mechanics, 2006 , 27(9) : 1265 -1274 . DOI: 10.1007/s10483-006-0914-z

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