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

Javid Ali, Faeem Ali and Puneet Kumar
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Javid Ali: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Faeem Ali: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Puneet Kumar: Department of Mathematics and Statistics, Fiji National University, P.O. Box 3722, Samabula, Fiji

Mathematics, 2019, vol. 7, issue 6, 1-11

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 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.

Keywords: Suzuki’s generalized non-expansive mappings; iterative schemes; fixed points; weak and strong convergence results; uniformly convex Banach space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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