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A Comment on Djoudi’s Fixed Point Theorem

by V. Srinivas, Umamaheshwar Rao. R
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 69 - Number 10
Year of Publication: 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 },
issue_date = { May 2013 },
volume = { 69 },
number = { 10 },
month = { May },
year = { 2013 },
issn = { 0975-8887 },
pages = { 29-31 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume69/number10/11880-7694/ },
doi = { 10.5120/11880-7694 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:29:54.756861+05:30
%A V. Srinivas
%A Umamaheshwar Rao. R
%T A Comment on Djoudi’s Fixed Point Theorem
%J International Journal of Computer Applications
%@ 0975-8887
%V 69
%N 10
%P 29-31
%D 2013
%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
  1. G. Jungck, 1986, Compatible mappings and common fixed points, Internat. J. Math & Math. Sci. 9, 771-779.
  2. G. Jungck, 1988, Compatible mappings and common fixed points (2), Internat. J. Math. & Math. Sci. 11,285-288.
  3. 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.
  4. 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.
  5. Jungck. G. and Rhoades. B. E. , 1998, Fixed point for set valued functions without continuity, Indian J. Pure. Appl. Math. , 29 (3), 227-238.
  6. 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.
  7. 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.
  8. 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).
Index Terms

Computer Science
Information Sciences

Keywords

Compatible mappings Compatible mappings of type (A) Compatible mappings of type(B) weakly Compatible mappings Common fixed points

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