On Some Common Fixed Point Results for Weakly Contraction Mappings with Application

In this paper, we introduce a new class of generalized weakly contractive mappings and prove common fixed point results by using different algorithms involving this new class of mappings in the framework of b-metric spaces, which generalize the results of Cho. We also provide two examples to show th...

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Bibliographic Details
Main Authors: Yan Hao, Hongyan Guan
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5573983
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Summary:In this paper, we introduce a new class of generalized weakly contractive mappings and prove common fixed point results by using different algorithms involving this new class of mappings in the framework of b-metric spaces, which generalize the results of Cho. We also provide two examples to show the applicability and validity of our results. As an application of our result, we obtain a solution to an integral equation. Our results extend and improve several comparable results in the existing literature.
ISSN:2314-8896
2314-8888