Research Article

FUZZY FIXED POINTS OF FUZZY MAPPINGS VIA A RATIONAL INEQUALITY

Volume: 40 Number: 3 March 1, 2011
  • Akbar Azam
EN TR

FUZZY FIXED POINTS OF FUZZY MAPPINGS VIA A RATIONAL INEQUALITY

Abstract

We establish the existence of common fuzzy fixed points for fuzzy mappings under a rational contractive condition on a metric space in connection with the Hausdorff metric on the family of fuzzy sets, and apply it to obtain common fixed points of fuzzy (multivalued) mappings satisfying a rational contractive condition associated with the d∞ (Hausdorff) metric.

Keywords

References

  1. Abu-Donia, H. M. Common fixed points theorems for fuzzy mappings in metric spaces under ϕ contraction condition, Chaos, Solitons & Fractals 34, 538–543, 2007.
  2. Arora, S. C. and Sharma, V. Fixed points for fuzzy mappings, Fuzzy Sets and Systems 110, 127–130, 2000.
  3. Azam, A. and Arshad, M. A note on “fixed point theorems for fuzzy mappings” by P. Vijayaraju and M. Marudai, Fuzzy Sets and Systems 161, 1145–1149, 2010.
  4. Azam, A., Arshad, M. and Vetro, P. On a pair of fuzzy -6 c contractive mappings, Math. Comp. Modelling 52, 207–214, 2010. [5] Azam, A. and Beg, I. Common fixed points of fuzzy maps, Math. Comp. Modelling 49, 1331–1336, 2009.
  5. Azam, A., Arshad, M. and Beg, I. Fixed points of fuzzy contractive and fuzzy locally con- tractive maps, Chaos, Solitons & Fractals 42 (5), 2836–2841, 2009.
  6. Beg, I. and Azam, A. Fixed points of asymptotically regular multivalued mappings, J. Aus- tral. Math. Soc. (Series A) 53, 313–226, 1992.
  7. Bose, R. K. and Sahani, D. Fuzzy mappings and fixed point theorems, Fuzzy Sets and Systems 21, 53–58, 1987.
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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Akbar Azam This is me

Publication Date

March 1, 2011

Submission Date

May 12, 2014

Acceptance Date

-

Published in Issue

Year 2011 Volume: 40 Number: 3

APA
Azam, A. (2011). FUZZY FIXED POINTS OF FUZZY MAPPINGS VIA A RATIONAL INEQUALITY. Hacettepe Journal of Mathematics and Statistics, 40(3), 421-431. https://izlik.org/JA22NS94CL
AMA
1.Azam A. FUZZY FIXED POINTS OF FUZZY MAPPINGS VIA A RATIONAL INEQUALITY. Hacettepe Journal of Mathematics and Statistics. 2011;40(3):421-431. https://izlik.org/JA22NS94CL
Chicago
Azam, Akbar. 2011. “FUZZY FIXED POINTS OF FUZZY MAPPINGS VIA A RATIONAL INEQUALITY”. Hacettepe Journal of Mathematics and Statistics 40 (3): 421-31. https://izlik.org/JA22NS94CL.
EndNote
Azam A (March 1, 2011) FUZZY FIXED POINTS OF FUZZY MAPPINGS VIA A RATIONAL INEQUALITY. Hacettepe Journal of Mathematics and Statistics 40 3 421–431.
IEEE
[1]A. Azam, “FUZZY FIXED POINTS OF FUZZY MAPPINGS VIA A RATIONAL INEQUALITY”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 3, pp. 421–431, Mar. 2011, [Online]. Available: https://izlik.org/JA22NS94CL
ISNAD
Azam, Akbar. “FUZZY FIXED POINTS OF FUZZY MAPPINGS VIA A RATIONAL INEQUALITY”. Hacettepe Journal of Mathematics and Statistics 40/3 (March 1, 2011): 421-431. https://izlik.org/JA22NS94CL.
JAMA
1.Azam A. FUZZY FIXED POINTS OF FUZZY MAPPINGS VIA A RATIONAL INEQUALITY. Hacettepe Journal of Mathematics and Statistics. 2011;40:421–431.
MLA
Azam, Akbar. “FUZZY FIXED POINTS OF FUZZY MAPPINGS VIA A RATIONAL INEQUALITY”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 3, Mar. 2011, pp. 421-3, https://izlik.org/JA22NS94CL.
Vancouver
1.Akbar Azam. FUZZY FIXED POINTS OF FUZZY MAPPINGS VIA A RATIONAL INEQUALITY. Hacettepe Journal of Mathematics and Statistics [Internet]. 2011 Mar. 1;40(3):421-3. Available from: https://izlik.org/JA22NS94CL