CFP last date
20 January 2025
Call for Paper
February Edition
IJCA solicits high quality original research papers for the upcoming February edition of the journal. The last date of research paper submission is 20 January 2025

Submit your paper
Know more
The week's pick
Responsive image
SFLA-Based Line Balancing and Task Optimization in Master-Slave Controlled Hanger Transportation Systems for Garment Production

Duc Hoang Nguyen
Random Articles
Reseach Article

Strong Convergence Results for Fixed Point Iterations in Convex Metric Spaces

by Ashish, Preety
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 108 - Number 16
Year of Publication: 2014
Authors: Ashish, Preety
10.5120/18997-0462

Ashish, Preety . Strong Convergence Results for Fixed Point Iterations in Convex Metric Spaces. International Journal of Computer Applications. 108, 16 ( December 2014), 26-29. DOI=10.5120/18997-0462

@article{ 10.5120/18997-0462,
author = { Ashish, Preety },
title = { Strong Convergence Results for Fixed Point Iterations in Convex Metric Spaces },
journal = { International Journal of Computer Applications },
issue_date = { December 2014 },
volume = { 108 },
number = { 16 },
month = { December },
year = { 2014 },
issn = { 0975-8887 },
pages = { 26-29 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume108/number16/18997-0462/ },
doi = { 10.5120/18997-0462 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:43:10.077005+05:30
%A Ashish
%A Preety
%T Strong Convergence Results for Fixed Point Iterations in Convex Metric Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 108
%N 16
%P 26-29
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we prove strong convergence results for some Jungck type iterative schemes in Convex metric spaces for a pair of non-selfmappings using a certain contractive condition. Our results generalize existing results in the literature.

References
  1. Singh, S. L. , Bhatnagar, C. and Mishra S. N. 2005. Stability of Jungck type iterative procedures. International Journal of Mathematics and Mathematical Sciences. 19 (2005), 3035–3043.
  2. Olatinwo, M. O. Some stability and strong convergence results for the Jungck-Ishikawa iteration process. Creative Mathematics and Informatics. 17 (2008), 33–42.
  3. Bosede, A. O. 2010. Strong convergence results for the Jungck-Ishikawa and Jungck-Mann iteration processes. Bulletin of Mathematical Analysis and Applications. 2 (2010), 65–73.
  4. Olaleru, J. O. and Akewe, H. 2010. On multistep iterative scheme for approximating the common fixed points of contractive-like operators. International Journal of Mathematics and mathematical Sciences. 2010 (2010), Article ID 530964, 1-11.
  5. Olatinwo, M. O. 2008. A generalization of some convergence results using a Jungck-Noor three-step iteration process in arbitrary Banach space, Polytechnica Posnaniensis. 40 (2008), 37–43.
  6. Chugh, R. and Kumar, V. 2011. Strong Convergence and Stability results for Jungck-SP iterative scheme. International Journal of Computer Applications. 36 (2011), 21-27.
  7. Phuengrattana, W. and 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 (2011), 3006–3014.
  8. Noor, M. A. 2000. New approximation schemes for general variational inequalities, Journal of Mathematical Analysis and Applications. 251 (2000), 217–229.
  9. Ishikawa, S. 1974. Fixed points by a new iteration method," Proceedings of the American Mathematical Society. 44 (1974), 147–150.
  10. Mann, W. R. 1953. Mean value methods in iteration. Proceedings of the American Mathematical Society. 4 (1953), 506–510.
  11. Agarwal, R. P. , O'Regan, D. and Sahu, D. R. 2007. Iterative construction of fixed points of nearly asymptotically nonexpansive mappings. Journal of Nonlinear and Convex Analysis. 8 (2007), 61–79.
  12. Sahu, D. R. and Petrus¸el, A. 2011. Strong convergence of iterative methods by strictly pseudocontractive mappings in Banach spaces. Nonlinear Analysis: Theory, Methods & Applications. 74 (2011) 6012–6023.
  13. Hussain, N. , Jungck, G. and Khamsi, M. A. 2012. Nonexpansive retracts and weak compatible pairs in metric spaces. Fixed Point Theory and Applications. 2012 (2012) article 100, 1-10.
  14. Jungck, G. and Hussain, N. 2007. Compatible maps and invariant approximations. Journal of Mathematical Analysis and Applications. 325 (2007) 1003–1012.
  15. Takahashi, W. 1970. A convexity in metric spaces and nonexpansive mapping. Kodai Math. Sem. Rep. 22 (1970), 142-149.
  16. Hussain, N. , Kumar, V. and Kutbi, M. A. 2013. On rate of Convergence of Jungck type iterative schemes. Abstract and Applied Analysis. 2013 (2013), Article ID 132626, 15 pages.
Index Terms

Computer Science
Information Sciences

Keywords

Jungck-iterative schemes fixed point contractive conditions Convex metric spaces.

Powered by PhDFocusTM