Volume no :2, Issue no: 1, February 2009

Journal of Mathematical Sciences: Advances and Applications

STRONG CONVERGENCE OF MODIFIED MANN ITERATIONS FOR LIPSCHITZ PSEUDOCONTRACTIONS

Author's: Jing Han and Yisheng Song
Pages: [147] - [159]
Received Date: October 22, 2008
Submitted by:

Abstract

In this paper, for a Lipschitz pseudocontractive mapping T, we study the strong convergence of the iterative scheme generated by

when satisfy

Keywords

Lipschitz pseudocontractions, modified Mann iterations, strong convergence, uniformly Gâteaux differentiable norm.