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.
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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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Soriano Arbizu, J.M. Continuation methods in Banach manifolds. Bull Braz Math Soc, New Series 38, 67–80 (2007). https://doi.org/10.1007/s00574-007-0036-3
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DOI: https://doi.org/10.1007/s00574-007-0036-3