AN OTHER APPROACH FOR THE PROBLEM OF FINDING A COMMON FIXED POINT OF A FINITE FAMILY OF NONEXPANSIVE MAPPINGS

TRUONG MINH  TUYEN

AN OTHER APPROACH FOR THE PROBLEM OF FINDING A COMMON FIXED POINT OF A FINITE FAMILY OF NONEXPANSIVE MAPPINGS

Authors

TRUONG MINH TUYEN Department of Mathematics, Thainguyen University - Vietnam

Keywords:

Accretive operators, Uniformly smooth and uniformly convex Banach space, Sunny nonexpansive retraction, Weak sequential continuous mapping, Regularization

Abstract

The purpose of this paper is to give a Tikhonov regularization method and some regularization inertial proximal point algorithm for the problem of finding a common fixed point of a finite family of nonexpansive mappings in an uniformly convex and uniformly smooth Banach space E, which admits a weakly sequentially continuous normalized duality mapping j from E to E^*.