Preprint Article Version 1 This version is not peer-reviewed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. Preprints 2019, 2019030022 (doi: 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 (doi: 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.

Subject Areas

47H10, 47H09, 54H25

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