Implicit Iteration Process for Lipschitzian {Hemicontraction Semigroups

Abstract

A. E. Ofem, D. I. Igbokwe and X. A. Udo-utun

In this paper, the concepts of {demicontractive semigroup and {hemicontractive semigroup are considered. We
study the strong and weak convergence of an implicit iterative scheme to the common xed points of Lipschitzian
{hemicontractive semigroup. The result presented in this paper extend, generalize, improve and unify the results of
several well known authors in the literature.

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