Please use this identifier to cite or link to this item: https://hdl.handle.net/10321/3404
Title: The implicit midpoint procedures for asymptotically nonexpansive mappings
Authors: Aibinu, M. O. 
Thakur, Surendra C. 
Moyo, S.
Issue Date: 6-Jun-2020
Publisher: Hindawi Limited
Source: Ainibu, M. O., Thakur, S. C. and Moyo, S. 2020. The implicit midpoint procedures for asymptotically nonexpansive mappings. Journal of Mathematics: 1-12. Available: doi:10.1155/2020/6876385
Journal: Journal of Mathematics, Vol. 2020 
Abstract: 
The concept of asymptotically nonexpansive mappings is an important generalization of the class of nonexpansive mappings. Implicit midpoint procedures are extremely fundamental for solving equations involving nonlinear operators. This paper studies the convergence analysis of the class of asymptotically nonexpansive mappings by the implicit midpoint iterative procedures. The necessary conditions for the convergence of the class of asymptotically nonexpansive mappings are established, by using a well-known iterative algorithm which plays important roles in the computation of fixed points of nonlinear mappings. A numerical example is presented to illustrate the convergence result. Under relaxed conditions on the parameters, some algorithms and strong convergence results were derived to obtain some results in the literature as corollaries.
URI: http://hdl.handle.net/10321/3404
ISSN: 2314-4629
2314-4785 (Online)
DOI: 10.1155/2020/6876385
Appears in Collections:Research Publications (Accounting and Informatics)

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