We apologize for a recent technical issue with our email system, which temporarily affected account activations. Accounts have now been activated. Authors may proceed with paper submissions. PhDFocusTM
CFP last date
20 November 2024
Call for Paper
December Edition
IJCA solicits high quality original research papers for the upcoming December edition of the journal. The last date of research paper submission is 20 November 2024

Submit your paper
Know more
The week's pick
Responsive image
An Efficient Restoration Method for the Faint Dot Matrix Images

Ao Zhu Peng Cao
Random Articles
Reseach Article

Common Fixed Point Theorem in D-Metric Space via Altering Distances between Points

by Savita Rathee, Asha Rani
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 57 - Number 9
Year of Publication: 2012
Authors: Savita Rathee, Asha Rani
10.5120/9141-3361

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 },
issue_date = { November 2012 },
volume = { 57 },
number = { 9 },
month = { November },
year = { 2012 },
issn = { 0975-8887 },
pages = { 11-13 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume57/number9/9141-3361/ },
doi = { 10.5120/9141-3361 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:59:59.229605+05:30
%A Savita Rathee
%A Asha Rani
%T Common Fixed Point Theorem in D-Metric Space via Altering Distances between Points
%J International Journal of Computer Applications
%@ 0975-8887
%V 57
%N 9
%P 11-13
%D 2012
%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
  1. Bansal, D. R, Chugh, R. and Kumar, R. 1998. Fixed points for ?-contractive mappings in D-metric spaces, East Asian Math. Comm. 1 (1998), 9-15.
  2. Dhage, B. C. 1984. A study of some fixed point theorems, Ph. D. Thesis (1984), Marathwada Univ. Aurangabad, India.
  3. Dhage, B. C. 1999. On common fixed point of coincidentally commuting mappings in D-metric spaces, Indian J. pure Appl. Math. , 30(3) (1999), 395-406.
  4. Dhage, B. C. 1992. Generalized metric space and mappings with fixed point, Bull. Cal. Math. Soc. , 84 (1992), 329-36.
  5. Dhage, B. C. 1998. On two basic contraction mappings principles in D-metric spaces, East Asian Math. Comm. , (1998), 101-114.
  6. Hsiao, C. R. 1986. A. property of contractive type mappings in 2-metric spaces, Jnanabha, 16 (1986) 223-239.
  7. Jungck, G. 1976. Commuting mappings and fixed point, Amer. Math. Monthly, 83 (1976), 261-263.
  8. Jungck, G. 1986. Compatible mappings and common fixed points, Intern. J. Math. and Math. Sci. , 9 (1986), 771-79.
  9. Jungck, G. and Rhoades, B. E. 1998. Fixed point for set valued functions without continuity, Indian J. pure and Applied Math. , 29(3) (1998), 227-238.
  10. Khan, M. S. , Smaleh, S. M. and Sessa, S. 1984. Bull. Austral. Math. S. , 30 (1984), 1-9.
  11. Pant, R. P. , Jha, K. and Pande, V. P. 2003. Common fixed points by altering distances between points, Bull. Cal. Math. Soc. , 95(5), (2003), 421-428.
  12. 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.
  13. Sessa, S. 1982. On weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. Beograd, 32(46), 1982, 149-153.
  14. Verrapandi, T. and Chandersekher Rao, K. 1996. Fixed points in Dhage metric spaces, Pure Appl. Math. Sci. , Vol. XIII, No. 1-2, March 1996.
Index Terms

Computer Science
Information Sciences

Keywords

Fixed points D-Metric spaces

Powered by PhDFocusTM