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arXiv · 2107.12904

On multidimensional fixed-point theorems and their applications

H. Akhadkulov·S. Akhatkulov·T. Y. Ying·R. Tilavov
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Abstract

The purpose of this paper is to present some multidimensional fixed-point theorems and their applications. For this, we provide a multidimensional fixed point theorem and then using this theorem we prove the existence and uniqueness of a solution of a nonlinear Hammerstein integral equation. Moreover, we provide an example to illustrate the hypotheses and the abstract result of this paper.

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H. Akhadkulov, S. Akhatkulov, T. Y. Ying, R. Tilavov. 2021-07-23. On multidimensional fixed-point theorems and their applications. https://arxiv.org/abs/2107.12904

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