Iterative approximation of a zero of accretive operator in Banach space

作者：Chen Rudong^*; Liu Yujun; Shen Xilin

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 71(12): E346-E350.

DOI：10.1016/j.na.2008.11.054

• Fixed point
• Nonexpansive mapping
• m-accretive operator
• Reflexive Banach space
• Weakly continuous duality mapping

This paper introduces an iteration scheme for viscosity approximation of a zero of accretive operator 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 Su [Xiaolong Qin, Yongfu Su, Approximation of a zero point of accretive operator in Banach spaces, J. Math. Anal. Appl. 320 (2007) 415-424] and some others.

• 出版日期2009-12
• 单位安阳师范学院; 天津工业大学; 新乡学院