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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
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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
  1. Rana, R. , Dimri, R. C. and Tomar, A. 2011 Remarks on convergence among Picard , Mann and Ishikawa iteration for complex space, volume 21, no 9 , May 2011 .
  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

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