Generalized Projection Algorithms for Nonlinear Operators
Ravi P. Agarwal, Yeol Je Cho, Xiaolong Qin · Numerical Functional Analysis and Optimization · 2007
In this paper, we prove three strong convergence theorems of modified Mann iteration for relatively asymptotically nonexpansive mappings, relatively nonexpansive mappings, and maximal monotone operators in a Banach space, respectively. Our results extend and improve the recent ones announced by Nakajo, Takahashi, Matsushita, Kim, Martinez-Yanex, Xu, and some others.