Document Type : Research Paper

Authors

• Austine Efut Ofem ¹
• Donatus Ikechi Igbokwe ²

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

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

Abstract

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.

Keywords

• Fixed points
• normalized duality mapping
• implicit iterative scheme
• Banach space
• total asymptotically demicontractive semigroup
• strong convergence