Approximation of common fixed points of a finite family of total asymptotically demicontraction semigroup

Document Type : Research Paper


1 Department of Mathematics, University of Uyo, Uyo, Nigeria

2 Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria


The purpose of this article is to introduce an implicit iterative algorithm which contains several well known existing iterative methods. We study the strong convergence of the proposed iteration process to the common fixed points of a finite family of uniformly L-Lipschitzian total asymptotically demicontraction semigroup in Banach spaces. The results presented in this article extend, generalize, unify and  improve the corresponding results of several authors in the existing literature.


Volume 14, Issue 1
January 2023
Pages 541-555
  • Receive Date: 01 May 2021
  • Revise Date: 01 July 2021
  • Accept Date: 10 July 2021