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, Indonesia. https://orcid.org/0009-0009-1359-1229
  • Muhammad Zakir Department of Mathematics, College of Mathematics and Science, Hasanuddin University, Makassar, Indonesia. https://orcid.org/0009-0002-4602-4385
  • Budi Nurwahyu Department of Mathematics, College of Mathematics and Science, Hasanuddin University, Makassar, Indonesia. https://orcid.org/0000-0002-8245-8845

DOI:

https://doi.org/10.21123/bsj.2024.9198

Keywords:

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

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

References

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Common Fixed-Point Theorems of Generalization of Kannan, Chatterjea, and Reich Contractive on b-Metric Space with an Application . Baghdad Sci.J [Internet]. [cited 2024 Apr. 30];21(9). Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/9198