Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space

[摘要] In this paper, we establish strong convergence theorems For a common fixed point of two relatively nonexpansive mappings in a Banach space by using the hybrid method in mathematical programming. Our results extend and improve the recent ones announced by Matsushita and Takahashi [A strong convergence theorem for relatively nonexpansive mappings in I Banach space, J. Approx. Theory 134 (2005) 257-266], Matinez-yanes and Xu [Strong convergence of the CQ method for fixed point iteration processes, Nonlinear Anal. 64 (2006) 2400-2411], and many others. (c) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-12-01

[关键词] relatively nonexpansive mapping;nonexpansive mapping;asymptotic fixed point;generalized projection;common fixed point