Continuation methods in Banach manifolds |
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| Authors: | J M Soriano Arbizu |
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| Institution: | (1) Departamento de Análisis Matemático, Universidad de Sevilla, Aptdo. 1160, Sevilla, 41080, SPAIN |
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| Abstract: | Sufficient conditions are given to assert that a perturbed mapping has a zero in a Banach manifold modelled over ℝn. The zero is estimated by means of sequences of Newton's iterations. The proof of the result is constructive and is based
upon continuation methods.
This work is partially supported by D.G.E.S. Pb 96-1338-CO 2-01 and the Junta de Andalucia. |
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| Keywords: | regular value continuation methods continuous dependence theorem sequence of Newton's iterations |
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