Abstract
In this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent to the fixed point of a single-valued contraction operator. Then we make the comparison of their rate of convergence. Additionally, numerical examples for these iteration processes are given.
Authors
Cristian Daniel Alecsa
Babes-Bolyai University, Department of Mathematics, Cluj-Napoca, Romania,
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania
Keywords
convex metric space; fixed point; iterative algorithm; rate of convergence; convex combination.
Paper coordinates
C.-D. Alecsa, On new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces, International Journal Of Nonlinear Analysis And Applications, 8 (2019) no. 1, pp. 353-388.
doi: 10.22075/ijnaa.2017.11144.1543
About this paper
Journal
International Journal of Nonlinear Analysis and Applications
Publisher Name
Print ISSN
Online ISSN
2008-6822
google scholar link
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