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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 3

Convergence and data dependence results for quasi-contractive type operators in hyperbolic spaces

Faik GÜRSOY
Hafız FUKHAR-UD-DİN
Abdul Rahim KHAN
Sayfa
373–388
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

It is shown that our results provide better convergence rate.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we simplify the iterative scheme introduced by Fukhar-ud-din and Berinde [Iterative Methods for the Class of Quasi-Contractive Type Operators and Comparison of their Rate of Convergence in Convex Metric Spaces, Filomat 30 (1), 223230, 2016] and study convergence and data dependency of the new proposed scheme of a quasi-contractive operator on a hyperbolic space.
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Temel Bulgular & Veri:In this paper, we simplify the iterative scheme introduced by Fukhar-ud-din and Berinde [Iterative Methods for the Class of Quasi-Contractive Type Operators and Comparison of their Rate of Convergence in Convex Metric Spaces, Filomat 30 (1), 223230, 2016] and study convergence and data dependency of the new proposed scheme of a quasi-contractive operator on a hyperbolic space.
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Sonuç & Katkı:It is shown that our results provide better convergence rate.
🔬Tür:Araştırma Makalesi
📍Kapsam:2016 Verileri
⚙️Değişkenler:Data dependency · strong convergence · iterative scheme

Abstract

In this paper, we simplify the iterative scheme introduced by Fukhar-ud-din and Berinde [Iterative Methods for the Class of Quasi-Contractive Type Operators and Comparison of their Rate of Convergence in Convex Metric Spaces, Filomat 30 (1), 223230, 2016] and study convergence and data dependency of the new proposed scheme of a quasi-contractive operator on a hyperbolic space. It is shown that our results provide better convergence rate.

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Bu Makaleye Atıf Yap

GÜRSOY, F., FUKHAR-UD-DİN, H., KHAN, A. R. (2022). Convergence and data dependence results for quasi-contractive type operators in hyperbolic spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 3, 373–388. https://ajindex.com/articles/530010

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Kaynakça (15)

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  2. Agarwal, R. P., O' Regan, D. and Sahu, D. R. Iterative construction of fixed points of nearly asymptotically nonexpansive mappings, J. Nonlinear Convex Anal. 8 (1), 6179, 2007.
  3. Berinde, V. Iterative approximation of fixed points (Springer-Verlag, Berlin, 2007).
  4. Bridson, M. and Hae iger, A. Metric spaces of non-positive curvature (Springer-Verlag, Berlin, 1999).
  5. Chugh, R. and Kumar, V. Data dependence of Noor and SP iterative schemes when dealing with quasi-contractive operators, Int. J. Comput. Appl. 40 (15), 4146, 2011.
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  7. Fukhar-ud-din, H. and Berinde, V. Iterative Methods for the Class of Quasi-Contractive Type Operators and Comparsion of their Rate of Convergence in Convex Metric Spaces, Filomat 30 (1), 223230, 2016.
  8. Gürsoy, F., Karakaya, V. and Rhoades, B. Data dependence results of new multi-step and S-iterative schemes for contractive-like operators, Fixed Point Theory Appl. 2013 (1), 112, 2013.
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  11. Khan, A. R., Fukhar-ud-din, H. and Khan, M. A. A. An implicit algorithm for two fi nite families of nonexpansive maps in hyperbolic spaces, Fixed Point Theory Appl. 2012 (1), 112, 2012.
  12. Khan A. R., Gürsoy, F. and Karakaya, V. Jungck-Khan iterative scheme and higher con- vergence rate, Int. J. Comput. Math. 93 (12), 20922105, 2016.
  13. Khan, A. R., Gürsoy, F. and Kumar, V. Stability and data dependence results for Jungck- Khan iterative scheme, Turkish J. Math. 40 (3), 631640, 2016.
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