Generalized viscosity approximation method for nonexpansive mappings in Hadamard manifolds
Abstract
In 2014, Duan et al. proposed the generalized viscosity approximation method to obtain the strong convergence theorem in the framework of Hilbert space. The purpose of this paper is to establish the convergence of generalized Viscosity approximation method for nonexpansive mappings in Hadamard manifolds. Our theorem improves and extends the results that have been proved in this direction for this important class of nonlinear mappings.
Copyright © 2016 Renu Chugh, Mandeep Kumari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
R. Chugh, M. Kumari, Generalized viscosity approximation method for nonexpansive mappings in Hadamard manifolds, J. Math. Comput. Sci. 6 (2016), 1012–1023.
BibTeX
@article{Chugh2016,
author = {Chugh, Renu and Kumari, Mandeep},
title = {Generalized viscosity approximation method for nonexpansive mappings in Hadamard manifolds},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {1012--1023},
doi = {}
}