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Reseach Article

Comparative Analysis of Rate of Convergence of Agarwal et al., Noor and SP iterative schemes for Complex Space

by Renu Chugh, Vivek Kumar, Ombir Dahiya
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 41 - Number 11
Year of Publication: 2012
Authors: Renu Chugh, Vivek Kumar, Ombir Dahiya
10.5120/5583-7819

Renu Chugh, Vivek Kumar, Ombir Dahiya . Comparative Analysis of Rate of Convergence of Agarwal et al., Noor and SP iterative schemes for Complex Space. International Journal of Computer Applications. 41, 11 ( March 2012), 6-15. DOI=10.5120/5583-7819

@article{ 10.5120/5583-7819,
author = { Renu Chugh, Vivek Kumar, Ombir Dahiya },
title = { Comparative Analysis of Rate of Convergence of Agarwal et al., Noor and SP iterative schemes for Complex Space },
journal = { International Journal of Computer Applications },
issue_date = { March 2012 },
volume = { 41 },
number = { 11 },
month = { March },
year = { 2012 },
issn = { 0975-8887 },
pages = { 6-15 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume41/number11/5583-7819/ },
doi = { 10.5120/5583-7819 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:30:19.463075+05:30
%A Renu Chugh
%A Vivek Kumar
%A Ombir Dahiya
%T Comparative Analysis of Rate of Convergence of Agarwal et al., Noor and SP iterative schemes for Complex Space
%J International Journal of Computer Applications
%@ 0975-8887
%V 41
%N 11
%P 6-15
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we analyze the rate of convergence of three iterative schemes namely-Agarwal et al. , Noor and SP iterative schemes for complex space by using Matlab programmes. The results obtained are extensions of some recent results of Rana, Dimri and Tomar[1].

References
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  2. Rhoades, B. E. 1976 Comments on two fixed point iteration methods, Journal of Mathematical Analysis and Applications, vol. 56, no. 3, pp. 741-750.
  3. Singh, S. L. 1998 A new approach in numerical praxis, Progress Math. (Varanasi) 32(2), 75-89.
  4. Berinde, V. 2004 Picard iteration converges faster than Mann iteration iteration for a class of quasi-contractive operators, Fixed Point Theory and Applications 2, 97-105.
  5. Berinde, V. 2007 Iterative Approximation of Fixed Points, Editura Efemeride.
  6. Hussian, N. , Rafiq, A. , D, Bosko and L. Rade 2011 On the rate of convergence of various iterative schemes, Fixed Point Theory and Applications 45,6 pages
  7. Phuengrattana, W. , Suantai, S. 2011 On the rate of convergence of Mann, Ishikawa, Noor and SP iterations for continuous functions on an arbitrary interval, Journal of Computational and Applied Mathematics, 235, 3006- 3014.
  8. Mann, W. R. 1953 Mean value methods in iteration, Proceedings of the American Mathematical Society, vol. 4, pp. 506-510.
  9. Ishikawa, S. 1974 Fixed points by a new iteration method, Proceedings of the American Mathematical Society, vol. 44, no. 1, pp. 147-150.
  10. Agarwal, R. P. , O'Regan, D. and Sahu, D. R. 2007 Iterative construction of fixed points of nearly asymptotically nonexpasive mappings, Journal of Nonlinear and Convex Analysis 8(1),61-79.
  11. Noor, M. A. 2000 New approximation schemes for general variational inequalities, Journal of Mathematical Analysis and Applications, vol. 251, no. 1, pp. 217-229.
Index Terms

Computer Science
Information Sciences

Keywords

Agarwal Et Al. Iterative Scheme Noor Iterative Scheme Sp Iterative Scheme