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

by Savita Rathee, Asha Rani
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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

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