On new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces

Author(s):

Cristian Alecsa *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:8 Issue: 1, Summer - Autumn 2017
Pages:
353 to 388
https://www.magiran.com/p2262099