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Numerical Algorithms

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16-09-2019 | Original Paper

Generalized viscosity implicit scheme with Meir-Keeler contraction for asymptotically nonexpansive mapping in Banach spaces

Authors: Rajat Vaish, Md. Kalimuddin Ahmad

Published in: Numerical Algorithms | Issue 3/2020

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Abstract

Our focus in this paper is on introducing an iterative scheme based on the generalized implicit method and viscosity approximation method with Meir-Keeler contraction for solving a fixed point problem of an asymptotically nonexpansive mapping in the framework of Banach spaces. The strong convergence results of the proposed iterative scheme are established. An application based on convex minimization problem is derived from our main result. The numerical applicability and efficiency of our results are demonstrated using some examples. Our results extend, generalize and unify the previously known results given in the literature.

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Title: Generalized viscosity implicit scheme with Meir-Keeler contraction for asymptotically nonexpansive mapping in Banach spaces
Authors: Rajat Vaish
Md. Kalimuddin Ahmad
Publication date: 16-09-2019
Publisher: Springer US
Published in: Numerical Algorithms / Issue 3/2020
Print ISSN: 1017-1398
Electronic ISSN: 1572-9265
DOI: https://doi.org/10.1007/s11075-019-00798-4

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