Iterative approximation for a zero of accretive operator and fixed points problems in Banach space

作者：He Xin feng; Xu Yong chun; He Zhen^*

来源：Applied Mathematics and Computation, 2011, 217(9): 4620-4626.

DOI：10.1016/j.amc.2010.11.014

• Accretive operators
• Weakly continuous duality mapping
• Reflexive Banach space
• The resolvent operator

In this paper we introduced an iteration scheme for viscosity approximation for a zero of accretive operator and fixed points problems in a reflexive Banach space with weakly continuous duality mapping. A new iterative sequence is introduced and strong convergence of the algorithm x(n) is proved. The results improve and extend the results of Hu and Liu [L. Hu and L. Liu, A new iterative algorithm for common solutions of a finite family of accretive operators, Nonlinear Anal. 70 (2009) 2344-2351] and some others.

• 出版日期2011-1-1
• 单位河北大学; 河北北方学院