CONVERGENCE THEOREMS OF THE ITERATIVE SEQUENCES FOR NONEXPANSIVE MAPPINGS

Title & Authors
CONVERGENCE THEOREMS OF THE ITERATIVE SEQUENCES FOR NONEXPANSIVE MAPPINGS
Kang, Jung-Im; Cho, Yeol-Je; Zhou, Hai-Yun;

Abstract
In this paper, we will prove the following: Let D be a nonempty of a normed linear space X and T : D -> X be a nonexpansive mapping. Let $\small{{x_n}}$ be a sequence in D and $\small{{t_n}}$, $\small{{s_n}}$ be real sequences such that (i) \$0\;{\leq}\;t_n\;{\leq}\;t\;<\;1\;and\;{\sum_{n
Keywords
nonexpansive mapping;Ishikawa iterative sequence;strong and weak convergence theorems.;
Language
English
Cited by
References
1.
Iterative Methods for Nonlinear Operator Equations in Banach spaces,

2.
J. Math. Anal. Appl., vol.199. pp.769-775

3.
Contemporary Math., vol.21. pp.115-123

4.
Proc. Amer. Math. Soc., vol.59. pp.65-71

5.
Proc. Amer. Math. Soc., vol.44. pp.375-380

6.
J. Math. Anal. Appl., vol.178. pp.301-308