A fixed-point principle for a pair of non-commutative operators
Abstract
In this paper, a fixed point principle for a pair of operators (fi,X,d), i = 1,2, where (X,d) is a metric space and f1, f2: X → X, is established under the generalized uniform equivalence condition of different orbits generated by the maps f1 and f2 separately, which gives another generalization of the fixed point principle of Leader [1] and estimates approximations to the fixed points of both the operators simultaneously.
Copyright © 2014 Penumarthy Parvateesam Murthy, Tanmoy Som, Erdal Karapinar. 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
P. P. Murthy, T. Som, E. Karapinar, A fixed-point principle for a pair of non-commutative operators, Adv. Fixed Point Theory 4 (2014), 525–531.
BibTeX
@article{Murthy2014,
author = {Murthy, Penumarthy Parvateesam and Som, Tanmoy and Karapinar, Erdal},
title = {A fixed-point principle for a pair of non-commutative operators},
journal = {Adv. Fixed Point Theory},
volume = {4},
year = {2014},
pages = {525--531},
doi = {}
}