Common Fixed-Point Theorems of Generalization of Kannan, Chatterjea, and Reich Contractive on b-Metric Space with an Application

Authors

Nurul Ilma Islamiyah, Department of Mathematics, College of Mathematics and Science, Hasanuddin University, Makassar, IndonesiaFollow
Muhammad Zakir, Department of Mathematics, College of Mathematics and Science, Hasanuddin University, Makassar, Indonesia.Follow
Budi Nurwahyu, Department of Mathematics, College of Mathematics and Science, Hasanuddin University, Makassar, Indonesia.Follow

Abstract

This paper, established the existence and uniqueness of common fixed points for Kannan, Reich, and Chatterjea-type pairs of self-maps in complete b-metric space. In addition, an example and an application of the existence and uniqueness of common solutions for a system of functional equations arising in dynamic programming are discussed by using our results

Keywords

b-metric, Chatterjea Contraction, Common fixed point, Fixed point, Kannan Contraction, Reich Contraction

Article Type

Article

How to Cite this Article

Islamiyah, Nurul Ilma; Zakir, Muhammad; and Nurwahyu, Budi (2024) "Common Fixed-Point Theorems of Generalization of Kannan, Chatterjea, and Reich Contractive on b-Metric Space with an Application," Baghdad Science Journal: Vol. 21: Iss. 9, Article 14.
DOI: https://doi.org/10.21123/bsj.2024.9198