A study of common fixed point of enriched contractions

Authors

  • O. J. Omidire Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria.
  • K. R. Tijani Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria.
  • B. T. Ishola Department of Mathematics, Obafemi Awolowo University, Ile- Ife, Nigeria.

DOI:

https://doi.org/10.70530/kuset.v18i2.572

Keywords:

Generalized enriched Jungck-contraction, Jungck-Schaefer iteration, Positively homogeneous function, Common fixed point and Banach spaces

Abstract

In this paper, we study convergence of Jungck-Schaefer iterative scheme to the common fixed point of generalized enriched contractions. Some novel general class of enriched contractive definitions called enriched-Jungck contractions are presented and we study the existence and uniqueness of common fixed points for these class of mappings in Banach spaces using Jungck-Schaefer iterative techniques. Our results unify, generalize and extend some recently announced related results in literature.

Published

2024-12-27

How to Cite

Omidire, O. J., Tijani, K. R., & Ishola, B. T. (2024). A study of common fixed point of enriched contractions. Kathmandu University Journal of Science Engineering and Technology, 18(2). https://doi.org/10.70530/kuset.v18i2.572

Issue

Vol. 18 No. 2 (2024): Kathmandu University Journal of Science, Engineering and Technology (KUSET)

Section

Original Research Articles
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