Research Article
A Comment on Djoudi’s Fixed Point Theorem
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 69 - Issue 10 |
| Published: May 2013 |
| Authors: V. Srinivas, Umamaheshwar Rao. R |
10.5120/11880-7694
|
V. Srinivas, Umamaheshwar Rao. R . A Comment on Djoudi’s Fixed Point Theorem. International Journal of Computer Applications. 69, 10 (May 2013), 29-31. DOI=10.5120/11880-7694
@article{ 10.5120/11880-7694,
author = { V. Srinivas,Umamaheshwar Rao. R },
title = { A Comment on Djoudi’s Fixed Point Theorem },
journal = { International Journal of Computer Applications },
year = { 2013 },
volume = { 69 },
number = { 10 },
pages = { 29-31 },
doi = { 10.5120/11880-7694 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2013
%A V. Srinivas
%A Umamaheshwar Rao. R
%T A Comment on Djoudi’s Fixed Point Theorem%T
%J International Journal of Computer Applications
%V 69
%N 10
%P 29-31
%R 10.5120/11880-7694
%I Foundation of Computer Science (FCS), NY, USA
Abstract
The aim of this paper is to establish the generalization of common fixed point theorem proved by A. Djoudi by using weakly compatible mappings.
References
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- G. Jungck, P. P. Murthy and Y. J. Cho, 1993 Compatible mappings of type(A) and common fixed points, Math. Japonica 38,2, 381-390.
- H. K. Pathak and M. S. Khan, 1995, Compatible mappings of type(B) and common fixed points of Gregus type, Czechoslovak Math. J. 45, 120, 685-698.
- Jungck. G. and Rhoades. B. E. , 1998, Fixed point for set valued functions without continuity, Indian J. Pure. Appl. Math. , 29 (3), 227-238.
- A. Djoudi, 2003 A common fixed point theorem for compatible mappings of type (B) in complete metric spaces, Demonstr. Math. Vol. XXXVI, No. 2, 463-470.
- Umamaheshwar Rao. R and V. Srinivas, 2007, A generalization of Djoudi"s common fixed point theorem International J. of Math. Sci. & Engg. Appls, Vol. 1, (No. 2), 229-238.
- V. Srinivas and R. Umamaheshwar Rao, A fixed point theorem for four self maps under weakly compatible maps, Proceeding of World Congress on Engineering, Vol. II,WCE (2008), London,U. K. Main theorem is a generalization of Djuodi's theorem by virtue of the weaker conditions such as; weakly compatibility of the pairs (S,I) and (T,J) in place of compatibility of type (B).
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