Picard-like Iteration Process for a Finite Family of Contractions

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Published: 2023-09-21

Page: 383-385


Agatha Chizoba Nnubia *

Department of Mathematics, Nnamdi Azikiwe University, P. M. B. 5025, Awka, Anambra State, Nigeria.

Chika Moore

Department of Mathematics, Nnamdi Azikiwe University, P. M. B. 5025, Awka, Anambra State, Nigeria.

*Author to whom correspondence should be addressed.


Abstract

Let E be a metric space and let {\(\mathit{T}\)\(\mathit{i}\)}N be a finite family of contractions on E. It is proved that a picard-like iteration process converges to a point \(\mathit{x}\)* \(\in\) E if and only if \(\mathit{x}\)* is the common fixed point of the finite family {\(\mathit{T}\)\(\mathit{i}\)}N.

Keywords: Metric space, contractions, fixed point, strong convergence


How to Cite

Nnubia, A. C., & Moore, C. (2023). Picard-like Iteration Process for a Finite Family of Contractions. Asian Journal of Pure and Applied Mathematics, 5(1), 383–385. Retrieved from https://globalpresshub.com/index.php/AJPAM/article/view/1866

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