Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings

Author(s):

A. Safari-Hafshejani *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this article, we find a priori and a posteriori error estimates of the fixed point for the Picard iteration associated with a noncyclic contraction map, which is defined on a uniformly convex Banach space with a modulus of convexity of power type. As a result, we obtain priori and posteriori error estimates of Zlatanov for approximating the best proximity points ofcyclic contraction maps on this type of space.
Keywords:

Fixed point , Noncyclic contraction map , Uniformly convex Ba-nach space , Modulus of convexity , Priori , posteriori errors estimates

Language:
English
Published:
Iranian Journal of Numerical Analysis and Optimization, Volume:13 Issue: 3, Summer 2023
Pages:
385 to 396
https://www.magiran.com/p2613623