用一种应用方法求解复值度量空间中的不动点

IF 0.5 Q3 MATHEMATICS Facta Universitatis-Series Mathematics and Informatics Pub Date : 2021-07-30 DOI:10.22190/FUMI190313018R

R. Rashwan, H. Hammad, L. Guran

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摘要

本文给出了复值度量空间中一般压缩条件的不动点定理。并在此条件下得到了一些重要的推论。作为应用，我们找到了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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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FIXED POINT RESULTS IN COMPLEX VALUED METRIC SPACES WITH AN APPLICATION

In this paper, we introduce fixed point theorem for a general contractive condition in complex valued metric spaces. Also, some important corollaries under this contractive condition areobtained. As an application, we find 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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Facta Universitatis-Series Mathematics and Informatics MATHEMATICS-

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