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Approximation of Fixed Points for Suzuki's Generalized Non-Expansive Mappings
Version 1
: Received: 14 May 2019 / Approved: 16 May 2019 / Online: 16 May 2019 (10:54:50 CEST)
A peer-reviewed article of this Preprint also exists.
Ali, J.; Ali, F.; Kumar, P. Approximation of Fixed Points for Suzuki’s Generalized Non-Expansive Mappings. Mathematics 2019, 7, 522. Ali, J.; Ali, F.; Kumar, P. Approximation of Fixed Points for Suzuki’s Generalized Non-Expansive Mappings. Mathematics 2019, 7, 522.
Abstract
In this paper, we study a three step iterative scheme to approximate fixed points of Suzuki's generalized non-expansive mappings. We establish some weak and strong convergence results for such mappings in uniformly convex Banach spaces. Further, we show numerically that iterative scheme (1.8) converges faster than some other known iterations for Suzuki's generalized non-expansive mappings. To support our claim, we give an illustrative example and approximate fixed points of such mappings using Matlab program. Our results are new and generalize several relevant results in the literature.
Keywords
Suzuki's generalized non-expansive mappings; iterative schemes; fixed points; weak and strong convergence results; uniformly convex Banach spaces
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.
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