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Dergiler / Conference Proceedings of Science and Technology / 2026 / Cilt: 2 Sayı: 1

Stability of an Iterative Algorithm

Faik Gürsoy(ADIYAMAN ÜNİVERSİTESİ)0000-0002-7118-9088
Sayfa
18–19
Yayın Tarihi
2019-10-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
💡
Sonuç & Katkı: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.
🔬Tür:Konferans Bildirisi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fixed Point · Stability · 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.

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Bu Makaleye Atıf Yap

Gürsoy, F. (2019). Stability of an Iterative Algorithm. Conference Proceedings of Science and Technology, Cilt: 2 Sayı: 1, 18–19. https://ajindex.com/articles/1648748

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Kaynakça (7)

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  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.