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 iterative sche...

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Bibliographic Details
Published in:	Mathematics (Basel) Vol. 7; no. 6; p. 522
Main Authors:	Ali, Javid, Ali, Faeem, Kumar, Puneet
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01-06-2019
Subjects:	Banach spaces Convergence fixed points Food science Iterative methods iterative schemes Suzuki’s generalized non-expansive mappings uniformly convex Banach space weak and strong convergence results
Online Access:	Get full text
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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 2227-7390
DOI:	10.3390/math7060522