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On the existence of solutions of nonlinear equations

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Abstract

Nonlinear equations in Banach spaces are considered. Solvability conditions are obtained for them. These results are a generalization of the Hadamard diffeomorphism theorem. Additionally, conditions for the existence of coincidence points of two mappings acting on metric spaces are obtained.

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Authors and Affiliations

  1. RUDN University, Moscow, 117198, Russia

    A. V. Arutyunov

  2. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia

    A. V. Arutyunov

Authors
  1. A. V. Arutyunov
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Correspondence to A. V. Arutyunov.

Additional information

Original Russian Text © A.V. Arutyunov, 2017, published in Doklady Akademii Nauk, 2017, Vol. 472, No. 4, pp. 373–377.

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Arutyunov, A.V. On the existence of solutions of nonlinear equations. Dokl. Math. 95, 46–49 (2017). https://doi.org/10.1134/S1064562417010148

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  • DOI: https://doi.org/10.1134/S1064562417010148

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