Coincidence and common fixed point theorems on TVS-valued cone metric spaces
Abstract
In this paper, we obtained some coincidence and common fixed point theorems for a pair of weakly compatible maps on TVS-valued cone metric spaces, satisfying contractive mapping: d(fx; fy) ≤ad(fx;gx)+bd(fy;gy)+gd(gx;gy) and d(fx; fy) ≤ad(gx;gy)+b[d(fx;gx)+d(fy;gy)]+g[d(fx;gy)+d(fy;gx)]. Some corollaries on fixed point theorems on TVS-valued cone metric spaces are also provided.
Copyright © 2015 Yizhuo Ma, Yubo Liu, Meimei Song. 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
Y. Ma, Y. Liu, M. Song, Coincidence and common fixed point theorems on TVS-valued cone metric spaces, J. Math. Comput. Sci. 5 (2015), 1–10.
BibTeX
@article{Ma2015,
author = {Ma, Yizhuo and Liu, Yubo and Song, Meimei},
title = {Coincidence and common fixed point theorems on TVS-valued cone metric spaces},
journal = {J. Math. Comput. Sci.},
volume = {5},
year = {2015},
pages = {1--10},
doi = {}
}