On the existence of solutions of nonlinear equations |
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| Authors: | A V Arutyunov |
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| Institution: | 1.RUDN University,Moscow,Russia;2.Faculty of Computational Mathematics and Cybernetics,Moscow State University,Moscow,Russia |
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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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