Stability and Data Dependence Results for Jungck-type Iteration Scheme

Authors

Puneet Sharma Department of Mathematics, Goswami Ganesh Dutta Sanatan Dharma College, Chandigarh 160030, India https://orcid.org/0000-0001-6797-3753 (unauthenticated)
Ioannis K. Argyros Department of Computing and Mathematical Sciences, Cameron University, Lawton, OK 73505, USA https://orcid.org/0000-0002-9189-9298 (unauthenticated)
Ramandeep Behl Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia https://orcid.org/0000-0003-1505-8945 (unauthenticated)
Vinay Kanwar University Institute of Engineering and Technology, Panjab University, Chandigarh 160014, India https://orcid.org/0000-0002-7923-1324 (unauthenticated)

DOI:

https://doi.org/10.37256/cm.5120242525

Keywords:

strong convergence, non-linear equation, Banach space, contraction-type mappings

Abstract

We propose and study a new Jungck-type iteration scheme to approximate coincidence points of contractive mappings. The strong convergence, stability, and data dependency results have been discussed. Numerical experiments demonstrate that the newly introduced Jungck-type iteration scheme yields a higher convergence rate in comparison with other Jungck-type iteration schemes available in the literature.

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Published

2024-03-13

Issue

Contemporary Mathematics, Volume 5 Issue 1 (2024), 1-1121

Section

Research Article

License

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

How to Cite

Stability and Data Dependence Results for Jungck-type Iteration Scheme. Contemp. Math. [Internet]. 2024 Mar. 13 [cited 2025 Dec. 24];5(1):743-60. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/2525

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