Convergence and stability of modified multi-step Noor iterative procedure with errors for strictly hemicontractive-type mappings in Banach spaces
Open Access
- 8 March 2021
- journal article
- research article
- Published by Springer Science and Business Media LLC in Fixed Point Theory and Algorithms for Sciences and Engineering
- Vol. 2021 (1), 1-30
- https://doi.org/10.1186/s13663-021-00692-6
Abstract
In this paper, we introduce and study a modified multi-step Noor iterative procedure with errors for two Lipschitz strictly hemicontractive-type mappings in arbitrary Banach spaces and constitute its convergence and stability. The obtained results in this paper generalize and extend the corresponding result of Hussainet al.(Fixed Point Theory Appl. 2012:160, 2012) and some analogous results of several authors in the literature. Finally, a numerical example is included to illustrate our analytical results and to display the efficiency of our proposed novel iterative procedure with errors.Keywords
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