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Year 2019, Volume: 2 Issue: 1, 18 - 19, 30.10.2019
https://izlik.org/JA54SC45UB

Abstract

References

  • [1] V. Berinde, On the approximation of fixed points of weak contractive mappings, Carpathian J. Math., 19 (2003), 7-22.
  • [2] T. Cardinali, P. Rubbioni, A generalization of the Caristi fixed point theorem in metric spaces, Fixed Point Theory, 11 (2010), 3-10.
  • [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] V. Berinde, Summable almost stability of fixed point iteration procedures, Carpathian J. Math., 19 (2003), 81-88.
  • [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] 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] 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.

Stability of an Iterative Algorithm

Year 2019, Volume: 2 Issue: 1, 18 - 19, 30.10.2019
https://izlik.org/JA54SC45UB

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.

References

  • [1] V. Berinde, On the approximation of fixed points of weak contractive mappings, Carpathian J. Math., 19 (2003), 7-22.
  • [2] T. Cardinali, P. Rubbioni, A generalization of the Caristi fixed point theorem in metric spaces, Fixed Point Theory, 11 (2010), 3-10.
  • [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] V. Berinde, Summable almost stability of fixed point iteration procedures, Carpathian J. Math., 19 (2003), 81-88.
  • [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] 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] 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.
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Details

Primary Language English
Subjects Engineering
Journal Section Conference Paper
Authors

Faik Gürsoy 0000-0002-7118-9088

Acceptance Date October 7, 2019
Publication Date October 30, 2019
IZ https://izlik.org/JA54SC45UB
Published in Issue Year 2019 Volume: 2 Issue: 1

Cite

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.Gürsoy F. 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