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Issue:Fixed point theorems in intuitionistic fuzzy contraction mappings in intuitionistic fuzzy generalized metric spaces

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Title of paper: Fixed point theorems in intuitionistic fuzzy contraction mappings in intuitionistic fuzzy generalized metric spaces
Author(s):
R. Muthuraj
PG and Research Department of Mathematics, H. H. The Rajah’s College, Pudukkottai – 622 001, India
rmr1973@gmail.com
M. Jeyaraman
PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai – 630561, India
jeya.math@gmail.com
M. Sornavalli
Velammal College of Engineering and Technology, Madurai – 625 009, India
sornavalliv7@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 1, pages 13–20
DOI: https://doi.org/10.7546/nifs.2018.24.1.13-20
Download:  PDF (238 Kb  Kb, Info)
Abstract: In this paper, we introduce intuitionistic fuzzy contraction mappings in intuitionistic fuzzy generalized metric spaces. The presented theorems, extend, generalize and improve the corresponding result which given in the literature. Some fixed point theorems in intuitionistic fuzzy generalized metric space in the sense of George and Veeramani [2].
Keywords: Intuitionistic fuzzy metric spaces, Intuitionistic fuzzy contraction mapping, Intuitionistic fuzzy generalized metric spaces.
AMS Classification: 47H10, 54H25.
References:
  1. Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy sets and Systems, 20(1), 87–96.
  2. George, A., & Veeramani, P. (1994) On some results in fuzzy metric space, Fuzzy Sets and Systems, 64, 395–399.
  3. Heilpern, S. (1981) Fuzzy mappings and fixed point theorem, J. Math. Anal. Appl., 83, 566–569.
  4. Jiao, Z. (2012) On fixed point theorems in intuitionistic fuzzy metric spaces, Journal of Applied Mathematics, Vol. 2012, Article ID 474983, 9 pages.
  5. Kramosil, I., & Michalek, J. (1975) Fuzzy metric and statistical metric spaces, Kybernetica, 11, 326–334.
  6. Mihet, D. (2004) A Banach Contraction theorem in fuzzy metric spaces, Fuzzy Sets and Systems, 144, 431–439.
  7. Muthuraj, R., Sornavalli, M., & Jeyaraman, M. (2017) Common coupled fixed point theorems in generalized intuitionistic fuzzy metric spaces, Notes on Intuitionistic Fuzzy Sets, 23(1), 57–69.
  8. Park, J. H. (2004) Intuitionistic fuzzy metric spaces, Chaos Solitons Fractals, 22, 1039– 1046.
  9. Rafi, M., & Noorani, M. S. M. (2006) Fixed point theorems on intuitionistic fuzzy metric spaces, Iranian Journal of Fuzzy Systems, 3, 23–29.
  10. Saadati, R., Sedgi, S., & Shobe, N. (2008) Modified intuitionistic fuzzy metric space and somefixed point theorems, Chaos Solitons Fractals, 38, 36–47.
  11. Veerapandi, T., Jeyaraman, M., & Paul Raj Joseph, J. (2009) Some fixed point and coincident point theorem in generalized M-fuzzy metric space, Int. Journal of Math. Analysis, 3, 627–635.
  12. Sintunavarat, W., & Kumam, P. (2011) Fixed Point Theorems for a Generalized Intuitionistic Fuzzy Contraction Intuitionistic Fuzzy Metric Spaces, Thai Journal of Mathematics, 10(1), 123–135.
  13. Onsod, W., & Kumar, P. (2016) Common fixed point results for (f, y)-weak contraction mappings via f-a-admissible mappings in intuitionistic fuzzy metric spaces, Communications in Mathematics and Applications, 7(3), 167–178.
  14. Zadeh, L. A. (1965) Fuzzy sets, Information and Control, 8, 338–353.
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