CFP last date
20 May 2024
Call for Paper
June Edition
IJCA solicits high quality original research papers for the upcoming June edition of the journal. The last date of research paper submission is 20 May 2024

Submit your paper
Know more
The week's pick
Responsive image
Enhancing Privacy Preservation: Multi-Attribute Protection with P-Sensitive K-Anonymity

Twinkle Patel Kiran Amin
Random Articles
Reseach Article

Common Fixed Point for Weakly Compatible Mappings in Menger Spaces

by Jay G. Mehta, M.L.Joshi
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 12 - Number 11
Year of Publication: 2011
Authors: Jay G. Mehta, M.L.Joshi
10.5120/1728-2339

Jay G. Mehta, M.L.Joshi . Common Fixed Point for Weakly Compatible Mappings in Menger Spaces. International Journal of Computer Applications. 12, 11 ( January 2011), 22-25. DOI=10.5120/1728-2339

@article{ 10.5120/1728-2339,
author = { Jay G. Mehta, M.L.Joshi },
title = { Common Fixed Point for Weakly Compatible Mappings in Menger Spaces },
journal = { International Journal of Computer Applications },
issue_date = { January 2011 },
volume = { 12 },
number = { 11 },
month = { January },
year = { 2011 },
issn = { 0975-8887 },
pages = { 22-25 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume12/number11/1728-2339/ },
doi = { 10.5120/1728-2339 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:01:24.055884+05:30
%A Jay G. Mehta
%A M.L.Joshi
%T Common Fixed Point for Weakly Compatible Mappings in Menger Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 12
%N 11
%P 22-25
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper the concept of weakly compatible map in complete Menger PM space has been applied to prove common fixed point theorem via an implicit relation by using the common property (E.A).

References
  1. K. Menger, Statistical metrics, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 535–537.
  2. V.M. Sehgal, Some fixed point theorems in function analysis and probability, Ph.D dissertation, Wayne State Univ. Michigan (1966).
  3. V.M. Sehgal and A.T. Bharucha-Reid, Fixed points of contraction mappings on probabilistic metric spaces, Math. Systems Theory 6 (1972), 97–102.
  4. H. Sherwood, Complete probabilistic metric spaces, Z. wahrscheinlichkeits theorie and verw. Grebiete 20 (1971), 117–128.
  5. V.I. Istratescu and I. Sacuiu, Fixed point theorem for contraction mappings on probabilistic metric spaces, Rev. Roumaine Math. Pures. Appl. 18 (1973), 1375–1380.
  6. I. Altun and D. Turkoglu, Some fixed point theorems on fuzzy metric spaces with implicit relations, Commun. Korean Math. Soc., 23(1)(2008), 111-124.
  7. G. Jungck, “Compatible mappings and common fixed points,” International Journal of Mathematics and Mathematical Sciences, vol. 9, no. 4, pp. 771–779, 1986.
  8. R. P. Pant, “Common fixed points of non commuting mappings,” Journal of Mathematical Analysis and Applications, vol. 188, no. 2, pp. 436–440, 1994.
  9. M. Aamri and D. El Moutawakil, “Some new common fixed point theorems under strict contractive conditions,” Journal of Mathematical Analysis and Applications, vol. 270, no. 1, pp. 181–188, 2002.
  10. Y. Liu, J.Wu, and Z. Li, “Common fixed points of single-valued and multi valued maps,” International Journal of Mathematics and Mathematical Sciences, vol. 2005, no. 19, pp. 3045–3055, 2005.
  11. M. Imdad, J. Ali, and L. Khan, “Coincidence and fixed points in symmetric spaces under strict contractions,” Journal of Mathematical Analysis and Applications, vol. 320, no. 1, pp. 352–360, 2006.
  12. I. Kubiaczyk and S. Sharma, “Some common fixed point theorems in Menger space under strict contractive conditions,” Southeast Asian Bulletin of Mathematics, vol. 32, no. 1, pp. 117–124, 2008.
  13. A. Branciari, “A fixed point theorem for mappings satisfying a general contractive condition of integral type,” International Journal of Mathematics and Mathematical Sciences, vol. 29, no. 9, pp. 531–536, 2002.
  14. A. Aliouche, “A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type,” Journal of Mathematical Analysis and Applications, vol. 322, no. 2, pp. 796–802, 2006.
  15. A. Djoudi and A. Aliouche, “Common fixed point theorems of Gregus type for weakly compatible mappings satisfying contractive conditions of integral type,” Journal of Mathematical Analysis and Applications, vol. 329, no. 1, pp. 31–45, 2007.
  16. B. E. Rhoades, “Two fixed-point theorems for mappings satisfying a general contractive condition of integral type,” International Journal of Mathematics and Mathematical Sciences, no. 63, pp. 4007–4013, 2003.
  17. D. Turkoglu and I. Altun, “A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying an implicit relation,” Boletin de la Sociedad Matematica Mexicana. Tercera Serie, vol. 13, no. 1, pp. 195–205, 2007.
  18. P. Vijayaraju, B. E. Rhoades, and R. Mohanraj, “A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type,” International Journal of Mathematics and Mathematical Sciences, no. 15, pp. 2359–2364, 2005.
  19. T. Suzuki, “Meir-Keeler contractions of integral type are still Meir-Keeler contractions,” International Journal of Mathematics and Mathematical Sciences, vol. 2007, Article ID 39281, 6 pages, 2007.
  20. J. Ali and M. Imdad, “An implicit function implies several contraction conditions,” Sarajevo Journal of Mathematics, vol. 4(17), no. 2, pp. 269–285, 2008.
Index Terms

Computer Science
Information Sciences

Keywords

Common fixed point Menger space compatible maps weakly compatible maps

Powered by PhDFocusTM