TITLE:
The New Viscosity Approximation Methods for Nonexpansive Nonself-Mappings
AUTHORS:
Chao Liu, Meimei Song
KEYWORDS:
Fixed Points, Nonexpansive Nonself-Mappings, Viscosity Approximation Methods, Real Banach Space
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.5 No.2,
June
30,
2016
ABSTRACT: In this paper, to find the fixed
points of the nonexpansive nonself-mappings, we introduced two new viscosity
approximation methods, and then we prove the iterative sequences defined by
above viscosity approximation methods which converge strongly to the fixed
points of nonexpansive nonself-mappings. The results presented in this paper
extend and improve the results of Song-Chen [1] and Song-Li [2].