Browse > Article
http://dx.doi.org/10.7858/eamj.2015.030

ON ERROR ESTIMATES OF AN IMPLICIT ITERATION SCHEME  

Rafiq, Arif (Department of Mathematics, Lahore Leads University)
Lee, Byung-Soo (Department of Mathematics, Kyungsung University)
Publication Information
Abstract
The purpose of this note is to study the estimation of errors of the implicit Mann iterative process with random errors.
Keywords
Implicit Mann iterative process; Random errors; Accumulative errors.;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Lj.B. Ciric, A. Rafiq, N. Cakic, J.S. Ume, Implicit Mann fixed point iterations for pseudo-contractive mappings, Appl. Math. Lett. 22(2009), 581-584.   DOI   ScienceOn
2 S. Ishikawa, Fixed point by a new iteration method, Proc. Amer. Math. Soc. 4 (1), (1974), 147-150.
3 L. S. Liu, Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces, J. Math. Anal. Appl. 1945 (1995), 114-125.
4 W. R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc. 4 (1953), 506-610.   DOI   ScienceOn
5 A. Rafiq, On Mann iteration in Hilbert spaces, Nonlinear Anal. 66 (2007), 2230-2236.   DOI   ScienceOn
6 A. Rafiq, Implicit fixed point iterations for pseudocontractive mappings, Kodai Math. J. 32 (2009), 146-158.   DOI
7 Y. Xu, Ishikawa and Mann iterative process with errors for nonlinear strongly accretive operator equations, J. Math. Anal. Appl. 224 (1998), 98-101.
8 Y. Xu, Z. Liu, On estimation and control of errors of the Mann iteration process, J. Math. Anal. Appl. 286 (2) (2003), 804-806.   DOI   ScienceOn