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arXiv 2107.12904math.FA
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关于多维不动点定理及其应用

On multidimensional fixed-point theorems and their applications

H. Akhadkulov, S. Akhatkulov, T. Y. Ying, R. Tilavov

摘要:

本文的目的是给出几个多维不动点定理及其应用。为此,我们给出了一个多维不动点定理,并利用这个定理证明了一类非线性Hammerstein积分方程解的存在唯一性.此外,我们还提供了一个例子来说明本文的假设和抽象结果。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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