Strong Convergence of Iterative Schemes for Zeros of Accretive Operators in Reflexive Banach Spaces
Department of Mathematics, Dong-A University, Busan 604-714, South Korea
Fixed Point Theory and Applications 2010, 2010:103465 doi:10.1155/2010/103465Published: 16 February 2010
We introduce composite iterative schemes by the viscosity iteration method for finding a zero of an accretive operator in reflexive Banach spaces. Then, under certain differen control conditions, we establish strong convergence theorems on the composite iterative schemes. The main theorems improve and develop the recent corresponding results of Aoyama et al. (2007), Chen and Zhu (2006, 2008), Jung (2010), Kim and Xu (2005), Qin and Su (2007) and Xu (2006) as well as Benavides et al. (2003), Kamimura and Takahashi (2000), Maingé (2006), and Nakajo (2006).