Fredholm and Compact Mappings Sharing a Value

J. M. Soriano

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J. M. Soriano. Fredholm and Compact Mappings Sharing a Value[J]. Applied Mathematics and Mechanics, 2001, 22(6): 609-612.

Citation:

J. M. Soriano. Fredholm and Compact Mappings Sharing a Value[J]. Applied Mathematics and Mechanics, 2001, 22(6): 609-612.

Citation:

J. M. Soriano. Fredholm and Compact Mappings Sharing a Value[J]. Applied Mathematics and Mechanics, 2001, 22(6): 609-612.

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Fredholm and Compact Mappings Sharing a Value

J. M. Soriano

Departmento de Anûlisis Matemûtico, Facultad de Matemûticas, Universidad de Sevilla, Aptdo 1160, Sevilla 41080, Spain

Received Date: 2000-11-22
Publish Date: 2001-06-15

Abstract

Abstract

Sufficient conditions are given to assert that two differentiable mappings between Banach spaces have common values.The proof is essentially based upon continuation methods.
- zero point,
- continuation methods,
- C¹-homotopy,
- surjective implicit-function theorem,
- compact mapping,
- Fredholm mapping,
- index zero,
- injective,
- diffeomorphism

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References(20)

References

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