Convergence theorem for I -asymptotically quasi-nonexpansive mapping
Author & Affiliation:
D.P. Shukla (shukladpmp@gmail.com)
Department of Mathematics/Computer Science, Govt. P.G. Science Cllege, Rewa (M.P.) 486001 (INDIA)
Vijay Kumar Khare
Govt. (P.G.) Home Science College, Jabalpur (M.P.) INDIA
Archana Singh
Department of Mathematics/Computer Science, Govt. P.G. Science Cllege, Rewa (M.P.) 486001 (INDIA)
Keyword:
Asymptotic center, I-asymptotically quasi-nonexpansive mapping, Nonlinear ergodic theorems, weakly almost convergent.
Issue Date:
August 2010
Abstract:
In this paper, we define the I-asymptotically quasi-nonexpansive mapping in Hilbert space. If T is an I-asymptotically quasi-nonexpansive mapping, then we prove that , for u Î K as n ® ¥, is weakly almost convergent to its asymptotic center.
Pages:
481-486
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
PDF:
DOI:
jusps-A
Share This:
Copy the following to cite this article:
D. Shukla; V. K. Khare; A. Singh, "Convergence theorem for I -asymptotically quasi-nonexpansive mapping", Journal of Ultra Scientist of Physical Sciences, Volume 22, Issue 2, Page Number 481-486, 2018Copy the following to cite this URL:
D. Shukla; V. K. Khare; A. Singh, "Convergence theorem for I -asymptotically quasi-nonexpansive mapping", Journal of Ultra Scientist of Physical Sciences, Volume 22, Issue 2, Page Number 481-486, 2018Available from: https://www.ultrascientist.org/paper/996/
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License
