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      Some convergence results of M iterative process in Banach spaces

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          Abstract

          In this paper, we prove some weak and strong convergence results for generalized [Formula: see text]-nonexpansive mappings using [Formula: see text] iteration process in the framework of Banach spaces. This generalizes former results proved by Ullah and Arshad [Numerical reckoning fixed points for Suzuki’s generalized nonexpansive mappings via new iteration process, Filomat 32(1) (2018) 187–196].

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          Most cited references21

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          Weak convergence of the sequence of successive approximations for nonexpansive mappings

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            Mean value methods in iteration

            W. Mann (1953)
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              Fixed points by a new iteration method

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                Author and article information

                Journal
                Asian-European Journal of Mathematics
                Asian-European J. Math.
                World Scientific Pub Co Pte Lt
                1793-5571
                1793-7183
                February 2021
                December 30 2019
                February 2021
                : 14
                : 02
                : 2150017
                Affiliations
                [1 ]Department of Mathematics, University of Science and Technology, Bannu-28100, Khyber Pakhtunkhwa, Pakistan
                Article
                10.1142/S1793557121500170
                abcae075-9c56-4a0e-9148-ca9f2e622c6b
                © 2021
                History

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