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Dergiler / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2017 / Cilt: 13 - Sayı: 3

Convergence and Data Dependence Results for AK Iterative Algorithm

Müzeyyen ERTÜRK
Sayfa
755–759
Yayın Tarihi
2022-10-12
DOI
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Also, we will support our results with an example.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper concentrates on studying convergence and data dependence of AK iteration for the class of maps which was introduced by Berinde.
📊
Temel Bulgular & Veri:This paper concentrates on studying convergence and data dependence of AK iteration for the class of maps which was introduced by Berinde.
💡
Sonuç & Katkı:Also, we will support our results with an example.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

This paper concentrates on studying convergence and data dependence of AK iteration for the class of maps which was introduced by Berinde. Also, we will support our results with an example.

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Bu Makaleye Atıf Yap

ERTÜRK, M. (2022). Convergence and Data Dependence Results for AK Iterative Algorithm. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 13 - Sayı: 3, 755–759. https://ajindex.com/articles/472322

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Kaynakça (17)

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  2. Berinde, V.; Iterative approximation of fixed points; Springer: Berlin, Germany, 2007
  3. Schu, J.; Weak and strong convergence to fixed points of asymptotically nonexpansive mappings. Bulletin of the Australian Mathematical Society, 1991, 43(1), 153-159
  4. Ullah, K., and Arshad, M.; On di¤erent results for new three step iteration process in Banach spaces. SpringerPlus 2016, 5(1), 1616
  5. Zamfirescu, T.; Fix point theorems in metric spaces. Archiv der Mathematik 1972, 23(1), 292-298
  6. Berinde, V.; General constructive fixed point theorems for Ciric-type almost contractions in metric spaces. Carpathian Journal of Mathematics. 2008, 24(2), 10-19
  7. Berinde, V., and Pacurar M.; Fixed points and continuity of almost contractions. Fixed Point Theory, 2008, 9(1), 23-34
  8. Karakaya, V., Doğan, K., Gürsoy, F., and Ertürk, M.; Fixed point of a new three-step iteration algorithm under contractivelike operators over normed spaces. Abstract and Applied Analysis, 2013, 2013, 1-9
  9. Khan, A. R., Gürsoy, F., and Karakaya, V.; Jungck-Khan iterative scheme and higher convergence rate. International Journal of Computer Mathematics 2016, 93(12), 1029-2105
  10. Gürsoy, F., Karakaya, V., and Rhoades, B. E.; Some convergence and stability results for the Kirk multistep and Kirk-SP fixed point iterative algorithms. Abstract and Applied Analysis, 2014, 2014, 1-12
  11. Xu, B., and Noor, M. A.; Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces. Journal of Mathematical Analysis and Applications, 2002, 67(2), 444-453
  12. Weng, X.; Fixed point iteration for local strictly pseudo-contractive mapping. Proceedings of the American Mathematical Society, 1991, 113(3), 727-731
  13. Rhoades, B. E.; Comments on two fixed point iteration methods. Journal of Mathematical Analysis and Applications 1976, 56(3), 741-750
  14. Tan, K.K., and Xu, H.; Fixed point iteration processes for asymptotically nonexpansive mappings. Proceedings of the American Mathematical Society, 1994, 122(3), 733-739
  15. Şoltuz, Ş. M., and Grosan, T.; Data dependence for Ishikawa iteration when dealing with contractive-like operators. Fixed Point Theory and Applications, 2008, 1, 1-7
  16. Şoltuz, Ş. M.; Data dependence for Mann iteration. Octogon Mathematical Magazine 2001, 9(2), 825-828
  17. Gürsoy, F., Karakaya,