Author(s)

Chao Liu, Meimei Song

College of Science, Tianjin University of Finance and Economics Pearl River College, Tianjin, China.

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].

Fixed Points, Nonexpansive Nonself-Mappings, Viscosity Approximation Methods, Real Banach Space

Liu, C. and Song, M. (2016) The New Viscosity Approximation Methods for Nonexpansive Nonself-Mappings. International Journal of Modern Nonlinear Theory and Application, 5, 104-113. doi: 10.4236/ijmnta.2016.52011.