复值度量空间中的不动点结果及其应用

Q4 Mathematics International Journal of Nonlinear Analysis and Applications Pub Date : 2022-01-01 DOI:10.22075/IJNAA.2020.16034.1843

R. Rashwan

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引用次数: 0

摘要

本文引入复值度量空间中一般压缩条件的杂点定理。并在此压缩条件下得到了一些重要的推论。作为应用，我们得到了Urysohn积分方程的唯一解，并给出了一些例子来支持我们的所得结果。我们的结果扩展和推广了Azam et al.[2]和文献中其他一些已知的结果。

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Fixed Point Results in Complex Valued Metric Spaces and an Application

In this paper, we introduce xed point theorem for a general contractive condition in complex valued metric spaces. Also, some important corollaries under this contractive condition are obtained. As an application, we nd a unique solution for Urysohn integral equations and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. [2] and some other known results in the literature.

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来源期刊

International Journal of Nonlinear Analysis and Applications MATHEMATICS-

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160