Approximation of Fixed Points for Suzuki’s Generalized Non-Expansive Mappings

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 the considered iter...

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Bibliographic Details
Published in:Mathematics
Main Authors: Javid Ali, Faeem Ali, Puneet Kumar
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Subjects:
Suzuki’s generalized non-expansive mappings
iterative schemes
fixed points
weak and strong convergence results
uniformly convex Banach space
Online Access:https://www.mdpi.com/2227-7390/7/6/522
Description
Summary: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 the considered iterative scheme converges faster than some other known iterations for Suzuki’s generalized non-expansive mappings. To support our claim, we give an illustrative numerical example and approximate fixed points of such mappings using Matlab program. Our results are new and generalize several relevant results in the literature.
ISSN:2227-7390

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