Fixed point problems of the Picard-Mann hybrid iterative process for continuous functions on an arbitrary interval
Özet
In this paper, we consider the iteration method called 'Picard-Mann hybrid iterative process' for finding a fixed point of continuous functions on an arbitrary interval. We give a necessary and sufficient condition for convergence of this iteration for continuous functions on an arbitrary interval. Also, we compare the rate of convergence of the Picard-Mann hybrid iteration with the other iterations and prove that it is better than the others under the same computational cost. Moreover, we present numerical examples.
Atıf için künye
KARAHAN, İ., & Özdemir, M. (2013). Fixed point problems of the Picard-Mann hybrid iterative process for continuous functions on an arbitrary interval. FIXED POINT THEORY AND APPLICATIONS. https://doi.org/10.1186/1687-1812-2013-244
BibTeX
@article{karahan2013-73230,
author = {KARAHAN, İBRAHİM and Özdemir, Murat},
title = {Fixed point problems of the Picard-Mann hybrid iterative process for continuous functions on an arbitrary interval},
journal = {FIXED POINT THEORY AND APPLICATIONS},
year = {2013},
issn = {1687-1812},
doi = {10.1186/1687-1812-2013-244},
url = {https://akademik.atauni.edu.tr/yayinlar/73230-fixed-point-problems-of-the-picard-mann-hybrid-iterative-process-for-continuous}
}