Email this article On the existence of solutions of nonlinear equations
- Authors: Arutyunov A.V.1,2
-
Affiliations:
- RUDN University
- Faculty of Computational Mathematics and Cybernetics
- Issue: Vol 95, No 1 (2017)
- Pages: 46-49
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224739
- DOI: https://doi.org/10.1134/S1064562417010148
- ID: 224739
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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.
About the authors
A. V. Arutyunov
RUDN University; Faculty of Computational Mathematics and Cybernetics
Author for correspondence.
Email: arutun@orc.ru
Russian Federation, Moscow, 117198; Moscow, 119992
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