Strong Convergence of Modified Iteration Processes for Relatively Nonexpansive Mappings
Tae-Hwa Kim, Hwa-Jung Lee · Kyungpook mathematical journal · 2008
Motivated and inspired by ideas due to Matsushida and Takahashi (J. Approx. Theory 134(2005), 257-266) and Martinez-Yanes and Xu (Nonlinear Anal. 64(2006), 2400- 2411), we prove some strong convergence theorems of modified iteration processes for a pair (or finite family) of relatively nonexpansive mappings in Banach spaces, which improve and extend the corresponding results of Matsushida and Takahashi and Martinez-Yanes and Xu in Banach and Hilbert spaces, repectively.