Convergence of an iterative method for a countable family of nonexpansive mappings under new control conditions
Rudong Chen · Basic Sciences Journal of Textile Universities · 2010
The convergence problem of an iterative method for a countable family of nonexpansive mappings in Banach spaces was studied.For a countable family of nonexpansive mappings,a strong convergence of Halpern type iteration is shown in order to find a common fixed point of in a reflexive Banach space.The convergence for a countable family of nonexpansive mappings was proved by introducing a new control condition.The result presented that the corresponding results of Yonghong Yao and Yisheng Song is improved and entended.