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Year 2014, Volume: 27 Issue: 1, 669 - 678, 28.03.2014

Abstract

References

  • -
  • M. Abbas, I Altun and D. Gopal, Common fixed
  • point theorems for non compatible mappings in
  • fuzzy metric spaces, Bull. Math. Anal. Appl., 1 (2) (2009), 47-56. [2]
  • M. Aamri and D. El Moutawakil, Some new
  • R.P. Pant and P.C. Joshi, A Meir Keeler type fixed
  • point theorem, Indian journal of Pure and Applied
  • S.L. Singh and A. Tomar, Fixed point theorems on
  • FM-spaces, J. Fuzzy Math.,12 (4) (2004), 845-859.
  • L.A. Zadeh, Fuzzy sets, Infor. and Control., 8 (1965), 338-353.

Coincidence and Common Fixed Point Theorems in Fuzzy Metric Spaces Using a Meir-Keeler Type Contractive Condition

Year 2014, Volume: 27 Issue: 1, 669 - 678, 28.03.2014

Abstract

In this paper we prove coincidence and common fixed point theorems for two pairs of weakly compatible self maps in fuzzy metric space using a fuzzy analogue of the Meir-Keeler type contractive condition. Our results substantially  extend, generalize, and improve a multitude of well known results of the form existing in the literature for metric as well as fuzzy metric spaces.

References

  • -
  • M. Abbas, I Altun and D. Gopal, Common fixed
  • point theorems for non compatible mappings in
  • fuzzy metric spaces, Bull. Math. Anal. Appl., 1 (2) (2009), 47-56. [2]
  • M. Aamri and D. El Moutawakil, Some new
  • R.P. Pant and P.C. Joshi, A Meir Keeler type fixed
  • point theorem, Indian journal of Pure and Applied
  • S.L. Singh and A. Tomar, Fixed point theorems on
  • FM-spaces, J. Fuzzy Math.,12 (4) (2004), 845-859.
  • L.A. Zadeh, Fuzzy sets, Infor. and Control., 8 (1965), 338-353.
There are 10 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Mathematics
Authors

Saurabh Manro

Anita Tomar This is me

B. Rhoades This is me

Publication Date March 28, 2014
Published in Issue Year 2014 Volume: 27 Issue: 1

Cite

APA Manro, S., Tomar, A., & Rhoades, B. (2014). Coincidence and Common Fixed Point Theorems in Fuzzy Metric Spaces Using a Meir-Keeler Type Contractive Condition. Gazi University Journal of Science, 27(1), 669-678.
AMA Manro S, Tomar A, Rhoades B. Coincidence and Common Fixed Point Theorems in Fuzzy Metric Spaces Using a Meir-Keeler Type Contractive Condition. Gazi University Journal of Science. March 2014;27(1):669-678.
Chicago Manro, Saurabh, Anita Tomar, and B. Rhoades. “Coincidence and Common Fixed Point Theorems in Fuzzy Metric Spaces Using a Meir-Keeler Type Contractive Condition”. Gazi University Journal of Science 27, no. 1 (March 2014): 669-78.
EndNote Manro S, Tomar A, Rhoades B (March 1, 2014) Coincidence and Common Fixed Point Theorems in Fuzzy Metric Spaces Using a Meir-Keeler Type Contractive Condition. Gazi University Journal of Science 27 1 669–678.
IEEE S. Manro, A. Tomar, and B. Rhoades, “Coincidence and Common Fixed Point Theorems in Fuzzy Metric Spaces Using a Meir-Keeler Type Contractive Condition”, Gazi University Journal of Science, vol. 27, no. 1, pp. 669–678, 2014.
ISNAD Manro, Saurabh et al. “Coincidence and Common Fixed Point Theorems in Fuzzy Metric Spaces Using a Meir-Keeler Type Contractive Condition”. Gazi University Journal of Science 27/1 (March 2014), 669-678.
JAMA Manro S, Tomar A, Rhoades B. Coincidence and Common Fixed Point Theorems in Fuzzy Metric Spaces Using a Meir-Keeler Type Contractive Condition. Gazi University Journal of Science. 2014;27:669–678.
MLA Manro, Saurabh et al. “Coincidence and Common Fixed Point Theorems in Fuzzy Metric Spaces Using a Meir-Keeler Type Contractive Condition”. Gazi University Journal of Science, vol. 27, no. 1, 2014, pp. 669-78.
Vancouver Manro S, Tomar A, Rhoades B. Coincidence and Common Fixed Point Theorems in Fuzzy Metric Spaces Using a Meir-Keeler Type Contractive Condition. Gazi University Journal of Science. 2014;27(1):669-78.