STRONG CONVERGENCE THEOREMS FOR STRONGLY RELATIVELY NONEXPANSIVE SEQUENCES AND APPLICATIONS

KOJI  AOYAMA; YASUNORI  KIMURA; FUMIAKI  KOHSAKA

STRONG CONVERGENCE THEOREMS FOR STRONGLY RELATIVELY NONEXPANSIVE SEQUENCES AND APPLICATIONS

Authors

KOJI AOYAMA Department of Economics, Chiba University, Yayoi-cho, Inage-ku, Chiba-shi, Chiba 263-8522, Japan
YASUNORI KIMURA Department of Information Science, Toho University, Miyama, Funabashi-shi, Chiba 274-8510, Japan
FUMIAKI KOHSAKA Department of Computer Science and Intelligent Systems, Oita University, Dannoharu, Oita-shi, Oita 870-1192, Japan

Keywords:

Strongly relatively nonexpansive sequence, Common fixed point, Strong convergence theorem

Abstract

The aim of this paper is to establish strong convergence theorems for a strongly relatively nonexpansive sequence in a smooth and uniformly convex Banach space. Then we employ our results to approximate solutions of the zero point problem for a maximal monotone operator and the fixed point problem for a relatively nonexpansive mapping.