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http://dx.doi.org/10.22771/nfaa.2022.27.04.07

AN EFFICIENT THIRD ORDER MANN-LIKE FIXED POINT SCHEME  

Pravin, Singh (Department of Mathematics, School of Mathematics Statistics and Computer Sciences, University of KwaZulu-Natal)
Virath, Singh (Department of Mathematics, School of Mathematics Statistics and Computer Sciences, University of KwaZulu-Natal)
Shivani, Singh (Department of Decision Sciences, School of Economic and Financial Sciences, University of South Africa)
Publication Information
Nonlinear Functional Analysis and Applications / v.27, no.4, 2022 , pp. 785-795 More about this Journal
Abstract
In this paper, we introduce a Mann-like three step iteration method and show that it can be used to approximate the fixed point of a weak contraction mapping. Furthermore, we prove that this scheme is equivalent to the Mann iterative scheme. A comparison is made with the other third order iterative methods. Results are presented in a table to support our conclusion.
Keywords
Mann iteration; weak contraction; Picard method; fixed point;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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