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Author: search.filters.author.Cho, Y.J.Subject: search.filters.subject.Newton’s method

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    Extending the Convexity of Nonlinear Image of a Ball Appearing in Optimization
    (Universal Wiser Publisher, 2020) Argyros, I.K.; Cho, Y.J.; George, S.
    Let X, Y be Hilbert spaces and F: X ? Y be Fréchet differentiable. Suppose that F? is center-Lipschitz on U(w, r) and F?(w) be a surjection. Then, S1 = F(U(w, ?1)) is convex where ?1 ? r. The set S1 contains the corresponding set given in [18] under the Lipschitz condition. Numerical examples where the old conditions are not satisfied but the new conditions are satisfied are provided in this paper. © 2020 Ioannis K. Argyros, et al. DOI: https://doi.o.