Strong convergence theorems for Lipschitzian demi-contraction semigroups in Banach spaces

Abstract

The purpose of this paper is to introduce and study the strong convergence problem of the explicit iteration process for a Lipschitzian and demi-contraction semi-groups in arbitrary Banach spaces. The main results presented in this paper extend and improve some recent results announced by many authors. © 2013 Springer-Verlag.