b-度量空间中有理型收缩的几个不动点定理

Q3 Mathematics

Moroccan Journal of Pure and Applied Analysis Pub Date : 2021-03-30 DOI:10.2478/mjpaa-2021-0023

Merdaci Seddik, Hamaizia Taieb

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引用次数: 5

摘要

摘要本文证明了b-度量空间中满足压缩型映射的几个常见不动点定理。本文给出的定理是对M. Sarwar和M. U. Rahman的结果的推广，也是对文献中许多著名结果在b-度量空间中的推广。最后，通过算例说明本文所得结果的有效性。最后，将结果应用于求解一个积分方程。

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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Some fixed point theorems of rational type contraction in b-metric spaces

Abstract In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of b-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U. Rahman [23] as well as a generalization of many well-known results in the literature through the context of b-metric spaces. Also, we present a few examples to illustrate the validity of the results obtained in the paper. Finally, results are applied to find the solution for an integral equation.

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来源期刊

Moroccan Journal of Pure and Applied Analysis Mathematics-Numerical Analysis

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

8 weeks