Coincidence and common fixed point theorems on TVS-valued cone metric spaces

Yizhuo Ma, Yubo Liu, Meimei Song

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.


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How to Cite this Article:

Yizhuo Ma, Yubo Liu, Meimei Song, Coincidence and common fixed point theorems on TVS-valued cone metric spaces, J. Math. Comput. Sci., 5 (2015), 1-10

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.

 

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