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Yıl 2019, Cilt: 2 Sayı: 1, 18 - 19, 30.10.2019

Öz

Kaynakça

  • [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

Yıl 2019, Cilt: 2 Sayı: 1, 18 - 19, 30.10.2019

Öz

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.

Kaynakça

  • [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.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Faik Gürsoy 0000-0002-7118-9088

Yayımlanma Tarihi 30 Ekim 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.
AMA Gürsoy F. Stability of an Iterative Algorithm. Conference Proceedings of Science and Technology. Ekim 2019;2(1):18-19.
Chicago Gürsoy, Faik. “Stability of an Iterative Algorithm”. Conference Proceedings of Science and Technology 2, sy. 1 (Ekim 2019): 18-19.
EndNote Gürsoy F (01 Ekim 2019) Stability of an Iterative Algorithm. Conference Proceedings of Science and Technology 2 1 18–19.
IEEE F. Gürsoy, “Stability of an Iterative Algorithm”, Conference Proceedings of Science and Technology, c. 2, sy. 1, ss. 18–19, 2019.
ISNAD Gürsoy, Faik. “Stability of an Iterative Algorithm”. Conference Proceedings of Science and Technology 2/1 (Ekim 2019), 18-19.
JAMA 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, 2019, ss. 18-19.
Vancouver Gürsoy F. Stability of an Iterative Algorithm. Conference Proceedings of Science and Technology. 2019;2(1):18-9.