Title of article :
On new faster xed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces
Author/Authors :
Daniel Alecsa, Cristian Department of Mathematics - Cluj-Napoca - Romania - Tiberiu Popoviciu Institute of Numerical Analysis - Romanian Academy - Cluj-Napoca, Romania
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.
Keywords :
convex metric space , fixed point , iterative algorithm , rate of convergence , convex combination
Journal title :
Astroparticle Physics