Research Article

COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS

Volume: 37 Number: 2 February 1, 2008
  • K. P. R. Rao
  • G. R. Babu
  • B. Fisher
TR EN

COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS

Abstract

In this paper we introduce the notion of a pair (f, g) being weakly fcompatible and obtain a common fixed point theorem for self maps in fuzzy metric spaces which modifies and generalizes some known results. We also give a common fixed point theorem for self maps in sequentially compact fuzzy metric spaces.

Keywords

References

  1. Banach, S. Theoric les operations Lineairar (Manograic Mathematic Zne, Warsaw, 1932).
  2. Cho, Seong Hoon On common fixed points in fuzzy metric spaces, International Mathemat- ical Forum 1 (10), 471–479, 2006.
  3. Cho, Y. J., Pathak, H, K., Kang, S. M. and Jung, J. S. Common fixed points of compatible maps of type (β) on fuzzy metric spaces, Fuzzy Sets and Systems, 93, 99–111, 1998.
  4. Edelstein, M. On fixed and periodic points under contradiction mapping, J. London Math. Soc. 37, 74–79, 1962.
  5. Fang, J.X. On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems, 46, –113, 1992.
  6. Fisher, B. Results on common fixed points on bounded metric spaces, Math. Sem. Notes 7, –80, 1979.
  7. George, A. and Veeramani, P. On some results in fuzzy metric spaces, Fuzzy Sets and Systems 64, 395–399, 1994.
  8. Grabiec, M. Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems 27, 385–389, 1988.

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

K. P. R. Rao This is me

G. R. Babu This is me

B. Fisher This is me

Publication Date

February 1, 2008

Submission Date

May 12, 2014

Acceptance Date

-

Published in Issue

Year 2008 Volume: 37 Number: 2

APA
Rao, K. P. R., Babu, G. R., & Fisher, B. (2008). COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS. Hacettepe Journal of Mathematics and Statistics, 37(2), 97-106. https://izlik.org/JA83ZN72EZ
AMA
1.Rao KPR, Babu GR, Fisher B. COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS. Hacettepe Journal of Mathematics and Statistics. 2008;37(2):97-106. https://izlik.org/JA83ZN72EZ
Chicago
Rao, K. P. R., G. R. Babu, and B. Fisher. 2008. “COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS”. Hacettepe Journal of Mathematics and Statistics 37 (2): 97-106. https://izlik.org/JA83ZN72EZ.
EndNote
Rao KPR, Babu GR, Fisher B (February 1, 2008) COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS. Hacettepe Journal of Mathematics and Statistics 37 2 97–106.
IEEE
[1]K. P. R. Rao, G. R. Babu, and B. Fisher, “COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS”, Hacettepe Journal of Mathematics and Statistics, vol. 37, no. 2, pp. 97–106, Feb. 2008, [Online]. Available: https://izlik.org/JA83ZN72EZ
ISNAD
Rao, K. P. R. - Babu, G. R. - Fisher, B. “COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS”. Hacettepe Journal of Mathematics and Statistics 37/2 (February 1, 2008): 97-106. https://izlik.org/JA83ZN72EZ.
JAMA
1.Rao KPR, Babu GR, Fisher B. COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS. Hacettepe Journal of Mathematics and Statistics. 2008;37:97–106.
MLA
Rao, K. P. R., et al. “COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS”. Hacettepe Journal of Mathematics and Statistics, vol. 37, no. 2, Feb. 2008, pp. 97-106, https://izlik.org/JA83ZN72EZ.
Vancouver
1.K. P. R. Rao, G. R. Babu, B. Fisher. COMMON FIXED POINT THEOREMS IN FUZZY METRIC SPACES UNDER IMPLICIT RELATIONS. Hacettepe Journal of Mathematics and Statistics [Internet]. 2008 Feb. 1;37(2):97-106. Available from: https://izlik.org/JA83ZN72EZ