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Stability of an Iterative Algorithm

Cilt: 2 Sayı: 1 30 Ekim 2019
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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

Kaynakça

  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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

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Yayımlanma Tarihi

30 Ekim 2019

Gönderilme Tarihi

26 Mayıs 2019

Kabul Tarihi

7 Ekim 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 2 Sayı: 1

Kaynak Göster

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 (01 Ekim 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, c. 2, sy 1, ss. 18–19, Eki. 2019, [çevrimiçi]. Erişim adresi: https://izlik.org/JA54SC45UB
ISNAD
Gürsoy, Faik. “Stability of an Iterative Algorithm”. Conference Proceedings of Science and Technology 2/1 (01 Ekim 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, c. 2, sy 1, Ekim 2019, ss. 18-19, https://izlik.org/JA54SC45UB.
Vancouver
1.Faik Gürsoy. Stability of an Iterative Algorithm. Conference Proceedings of Science and Technology [Internet]. 01 Ekim 2019;2(1):18-9. Erişim adresi: https://izlik.org/JA54SC45UB