Mann iteration process for monotone nonexpansive mappings

作者：Bin Dehaish Buthinah Abdullatif^*; Khamsi Mohamed Amine

来源：Fixed Point Theory and Applications, 2015, 2015(1): 177.

DOI：10.1186/s13663-015-0416-0

• fixed point
• Mann iteration process
• nonexpansive mapping
• uniformly convex Banach space
• uniformly Lipschitzian mapping

Let (X, parallel to . parallel to) be a Banach space. Let C be a nonempty, bounded, closed, and convex subset of X and T : C -> C be a monotone nonexpansive mapping. In this paper, it is shown that a technique of Mann which is defined by
x(n+1) = t(n)T(x(n)) + (1-t(n))x(n), n = 1,2, ... ,
is fruitful in finding a fixed point of monotone nonexpansive mappings.

• 出版日期2015-9-29
• 单位中国石油大学（北京）