Conference Paper

Stability of an Iterative Algorithm

Volume: 2 Number: 1 October 30, 2019
EN

Stability of an Iterative Algorithm

Abstract

We prove that iterative algorithm (1.7) of [7] is weak $w^{2}-$stable w.r.t. an operator $T$ in the class of weak contraction mappings.

Keywords

References

  1. [1] V. Berinde, On the approximation of fixed points of weak contractive mappings, Carpathian J. Math., 19 (2003), 7-22.
  2. [2] T. Cardinali, P. Rubbioni, A generalization of the Caristi fixed point theorem in metric spaces, Fixed Point Theory, 11 (2010), 3-10.
  3. [3] I. Timis, On the weak stability of Picard iteration for some contractive type mappings and coincidence theorems, Int. J. Comput. Appl., 37 (2012), 9-13.
  4. [4] V. Berinde, Summable almost stability of fixed point iteration procedures, Carpathian J. Math., 19 (2003), 81-88.
  5. [5] A. R. Khan, F. Gürsoy, V. Kumar, Stability and data dependence results for Jungck–Khan iterative scheme, Turkish J. Math., 40 (2016), 631-640.
  6. [6] L. Maru¸ster, ¸ S. M˘aru¸ster, On the error estimation and T-stability of the Mann iteration, J. Comput. Appl. Math., 276 (2015), 110-116.
  7. [7] V. Karakaya, Y. Atalan, K. Do˘gan, N. El Houda Bouzara, Some fixed point results for a new three steps iteration process in Banach spaces, Fixed Point Theory, 18 (2017), 625-640.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Conference Paper

Publication Date

October 30, 2019

Submission Date

May 26, 2019

Acceptance Date

October 7, 2019

Published in Issue

Year 2019 Volume: 2 Number: 1

APA
Gürsoy, F. (2019). Stability of an Iterative Algorithm. Conference Proceedings of Science and Technology, 2(1), 18-19. https://izlik.org/JA54SC45UB
AMA
1.Gürsoy F. Stability of an Iterative Algorithm. Conference Proceedings of Science and Technology. 2019;2(1):18-19. https://izlik.org/JA54SC45UB
Chicago
Gürsoy, Faik. 2019. “Stability of an Iterative Algorithm”. Conference Proceedings of Science and Technology 2 (1): 18-19. https://izlik.org/JA54SC45UB.
EndNote
Gürsoy F (October 1, 2019) Stability of an Iterative Algorithm. Conference Proceedings of Science and Technology 2 1 18–19.
IEEE
[1]F. Gürsoy, “Stability of an Iterative Algorithm”, Conference Proceedings of Science and Technology, vol. 2, no. 1, pp. 18–19, Oct. 2019, [Online]. Available: https://izlik.org/JA54SC45UB
ISNAD
Gürsoy, Faik. “Stability of an Iterative Algorithm”. Conference Proceedings of Science and Technology 2/1 (October 1, 2019): 18-19. https://izlik.org/JA54SC45UB.
JAMA
1.Gürsoy F. Stability of an Iterative Algorithm. Conference Proceedings of Science and Technology. 2019;2:18–19.
MLA
Gürsoy, Faik. “Stability of an Iterative Algorithm”. Conference Proceedings of Science and Technology, vol. 2, no. 1, Oct. 2019, pp. 18-19, https://izlik.org/JA54SC45UB.
Vancouver
1.Faik Gürsoy. Stability of an Iterative Algorithm. Conference Proceedings of Science and Technology [Internet]. 2019 Oct. 1;2(1):18-9. Available from: https://izlik.org/JA54SC45UB