Research Article
Common Fixed Point Theorem in D-Metric Space via Altering Distances between Points
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 57 - Issue 9 |
| Published: November 2012 |
| Authors: Savita Rathee, Asha Rani |
10.5120/9141-3361
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Savita Rathee, Asha Rani . Common Fixed Point Theorem in D-Metric Space via Altering Distances between Points. International Journal of Computer Applications. 57, 9 (November 2012), 11-13. DOI=10.5120/9141-3361
@article{ 10.5120/9141-3361,
author = { Savita Rathee,Asha Rani },
title = { Common Fixed Point Theorem in D-Metric Space via Altering Distances between Points },
journal = { International Journal of Computer Applications },
year = { 2012 },
volume = { 57 },
number = { 9 },
pages = { 11-13 },
doi = { 10.5120/9141-3361 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2012
%A Savita Rathee
%A Asha Rani
%T Common Fixed Point Theorem in D-Metric Space via Altering Distances between Points%T
%J International Journal of Computer Applications
%V 57
%N 9
%P 11-13
%R 10.5120/9141-3361
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper, we obtain a fixed point theorem for weakly compatible mappings by altering distances between the points via ? - contractive condition in D-metric spaces. Our work include the results of Bansal, Chugh and Kumar [1], Veerapandi and Chandersekher Rao [14], and Dhage [4]. An example is given at the end to prove the validity of the theorem.
References
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- Sastry, K. P. R. , Babu, G. V. R. 1999. Some fixed point theorems by altering distances between the points, Int. J. pure and appl. Math. , 30 (1999) 641.
- Sessa, S. 1982. On weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. Beograd, 32(46), 1982, 149-153.
- Verrapandi, T. and Chandersekher Rao, K. 1996. Fixed points in Dhage metric spaces, Pure Appl. Math. Sci. , Vol. XIII, No. 1-2, March 1996.
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