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Numerical Algorithms

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19-12-2019 | Original Paper

Existence and approximation of fixed points of multivalued generalized α-nonexpansive mappings in Banach spaces

Authors: Hira Iqbal, Mujahid Abbas, S. M. Husnine

Published in: Numerical Algorithms | Issue 3/2020

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Abstract

We introduce multivalued generalized α-nonexpansive mappings and present a fixed point result. The multivalued version of the iteration process (Piri et al., Numerical Algorithms, 1–20, 2018) is proposed and some weak and strong convergence results in uniformly convex Banach space are established. Further, we also study the stability of the modified iteration process. Finally, we compare the rate of convergence of suggested multivalued version of iteration process with several known iteration processes through a numerical example.

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Title: Existence and approximation of fixed points of multivalued generalized α-nonexpansive mappings in Banach spaces
Authors: Hira Iqbal
Mujahid Abbas
S. M. Husnine
Publication date: 19-12-2019
Publisher: Springer US
Published in: Numerical Algorithms / Issue 3/2020
Print ISSN: 1017-1398
Electronic ISSN: 1572-9265
DOI: https://doi.org/10.1007/s11075-019-00854-z

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