On some fixed points of generalized contractions with rational expressions and applications
Abstract
In this paper, we study some results of existence and uniqueness of fixed points for a class of operators satisfying an inequality of rational expressions. We prove that they are Picard mappings. Under certain conditions imposed on the parameters of the inequality, the F-quasi nonexpansive framework of this class is established. Mann and Ishikawa iterative methods are investigated in the framework of convex metric spaces.
Copyright © 2014 Nadjeh Redjel, Abdelkader Dehici. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
N. Redjel, A. Dehici, On some fixed points of generalized contractions with rational expressions and applications, Adv. Fixed Point Theory 5 (2015), 56–70.
BibTeX
@article{Redjel2015,
author = {Redjel, Nadjeh and Dehici, Abdelkader},
title = {On some fixed points of generalized contractions with rational expressions and applications},
journal = {Adv. Fixed Point Theory},
volume = {5},
year = {2015},
pages = {56--70},
doi = {}
}