Common Fixed Point Theorems of $(g-\alpha_{s^p},\psi,\varphi)$ Contraction Mappings with Application


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Authors

  • Jianju Li School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, People's Republic of China
  • Hongyan Guan School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, People's Republic of China

Keywords:

Common fixed point, $(g-\alpha_{s^p},\psi,\varphi)$ contractive mapping, $b-$metric, integral equation

Abstract

In this paper, we use the concept of generalized $(g-\alpha_{s^p},\psi,\varphi)$ contractive mappings to prove some existence and uniqueness results for common fixed point in the setting of $b-$metric spaces. We deduce some results as corollaries, examples and give an application to verify the results obtained.

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Published

15-06-2021

How to Cite

Jianju Li, & Hongyan Guan. (2021). Common Fixed Point Theorems of $(g-\alpha_{s^p},\psi,\varphi)$ Contraction Mappings with Application. International Journal of Mathematics And Its Applications, 9(2), 231–243. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/91

Issue

Vol. 9 No. 2 (2021)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.