Existence of common fixed points for a pair of self maps on a cone metric space under B.C. Control condition
Abstract
In this paper, we obtain sufficient conditions for the existence of unique point of coincidence for a pair of self maps on a cone metric space satisfying certain control conditions. These results improve the fixed point theorem of Razani.et.al.[8] imposing conditions such as the cone is a lattice or lattice ordered semigroup and introducing two new control functions namely B. C. control function and S.B.C control function. An open problem is also given at the end for further investigation.
Copyright © 2013 K. P. R. Sastry, Ch. Srinivasa Rao, A. Chandra Sekhar, M. Balaiah. 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
K. P. R. Sastry, C. S. Rao, A. C. Sekhar, M. Balaiah, Existence of common fixed points for a pair of self maps on a cone metric space under B.C. Control condition, Adv. Fixed Point Theory 3 (2013), 49–59.
BibTeX
@article{Sastry2013,
author = {Sastry, K. P. R. and Rao, Ch. Srinivasa and Sekhar, A. Chandra and Balaiah, M.},
title = {Existence of common fixed points for a pair of self maps on a cone metric space under B.C. Control condition},
journal = {Adv. Fixed Point Theory},
volume = {3},
year = {2013},
pages = {49--59},
doi = {}
}