ALMOST STABILITY OF STEVIC'S ITERATION METHOD WITHOUT BOUNDED REQUIREMENT

作者：Huang, Zhenyu^*

来源：Journal of Nonlinear and Convex Analysis, 2017, 18(7): 1325-1334.

• Almost stability
• Stevic's iteration method
• generalized Phi-pseudocontractive mappings
• uniformly continuous
• Banach spaces.

In this paper, without bounded requirement on the range of the uniformly continuous generalized Phi-pseudocontractive mapping T, we prove almost stability of Stevic's itertion defined as
x(n+1) = (1 - t(n))x(n) + t(n)Tv(n) + u(n)
in arbitrary Banach spaces. Our results extend and generalize the results in the literature [6, 10, 13, 17, 18, 22, 23, 25].

• 出版日期2017
• 单位南京大学