Abstract
ABSTRACTThe problem of finding a solution of non-linear inclusion problems in Banach space is considered in this paper. Using convex optimization techniques introduced by Robinson (Numer Math. 1972;19:341–347), a robust convergence theorem for the inexact Newton method is proved. As an application, an affine invariant version of Kantorovich’s theorem and Smale’s -theorem for the inexact Newton method is obtained.
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