PreprintArticleVersion 1Preserved in Portico This version is not peer-reviewed
On New Quicker N-Tupled Xed Point Implicit Iterations for Contractive-Like Mappings and Comparison of their Rate of Convergence in Hyperbolic Metric Spaces
Version 1
: Received: 2 March 2019 / Approved: 4 March 2019 / Online: 4 March 2019 (09:10:50 CET)
How to cite:
H. Soliman, A.; A. Barakat, M.; Imdad, M.; Nabil, T. On New Quicker N-Tupled Xed Point Implicit Iterations for Contractive-Like Mappings and Comparison of their Rate of Convergence in Hyperbolic Metric Spaces. Preprints2019, 2019030022. https://doi.org/10.20944/preprints201903.0022.v1
H. Soliman, A.; A. Barakat, M.; Imdad, M.; Nabil, T. On New Quicker N-Tupled Xed Point Implicit Iterations for Contractive-Like Mappings and Comparison of their Rate of Convergence in Hyperbolic Metric Spaces. Preprints 2019, 2019030022. https://doi.org/10.20944/preprints201903.0022.v1
H. Soliman, A.; A. Barakat, M.; Imdad, M.; Nabil, T. On New Quicker N-Tupled Xed Point Implicit Iterations for Contractive-Like Mappings and Comparison of their Rate of Convergence in Hyperbolic Metric Spaces. Preprints2019, 2019030022. https://doi.org/10.20944/preprints201903.0022.v1
APA Style
H. Soliman, A., A. Barakat, M., Imdad, M., & Nabil, T. (2019). On New Quicker N-Tupled Xed Point Implicit Iterations for Contractive-Like Mappings and Comparison of their Rate of Convergence in Hyperbolic Metric Spaces. Preprints. https://doi.org/10.20944/preprints201903.0022.v1
Chicago/Turabian Style
H. Soliman, A., M. Imdad and Tamer Nabil. 2019 "On New Quicker N-Tupled Xed Point Implicit Iterations for Contractive-Like Mappings and Comparison of their Rate of Convergence in Hyperbolic Metric Spaces" Preprints. https://doi.org/10.20944/preprints201903.0022.v1
Abstract
In this paper, we study the convergence of new implicit iterations dealing with n-tupled fixed point results for nonlinear contractive-like mappings on W-hyperbolic metric spaces. Herein, we demonstrate that our newly implicit iteration schemes have faster rate of convergence than implicit S-iteration process, implicit Ishikawa and Mann type iteration processes. Furthermore, a numerical simulation to improve our theoretical results is obtained.
Keywords
47H10, 47H09, 54H25
Subject
Computer Science and Mathematics, Analysis
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.