In this paper, we attempt to demonstrate some fixed point theorems in revised fuzzy metric spaces with illustrative models. The finding of this research paper is to declare fixed point hypothesis in building up  a presence and uniqueness hypothesis for a self-planning in revised fuzzy metric spaces.

revised fuzzy metric space, t-conorm, continuous t-conorm, fixed point.

How to cite this article: Murali Raj and R. Thangathamizh, Fixed point theorems in revised fuzzy metric spaces, Advances in Fuzzy Sets and Systems 26(2) (2021), 103-115. DOI: 10.17654/FS026020103

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References

[1] Alexander Sostak, George-Veeramani fuzzy metrics revised, Axioms 7 (2018), 60. doi:10.3390/axioms7030060.
[2] A. George and P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems 64 (1994), 395-399.
[3] A. George and P. Veeramani, On some results of analysis for fuzzy metric spaces, Fuzzy Sets and Systems 90 (1997), 365-399.
[4] M. Grabiec, Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems 27 (1988), 385-389.
[5] V. Gregori, Samuel Morillas and Almanzor Sapena, Examples of fuzzy metrics and applications, Fuzzy Sets and Systems 170 (2011), 95-111.
[6] I. Kramosil and J. Michalek, Fuzzy metric and Statistical metric spaces, Kybernetica 11 (1975), 326-334.
[7] Olga Grigorenko, Juan Jose Minana, Alexander Sostak and Oscar Valero, On t-conorm based fuzzy (pseudo) metrics, Axioms 9 (2020), 78.
doi:10.3390/axioms9030078.
[8] B. Schweizer and A. Sklar, Statistical metric spaces, Pacific J. Math. 10 (1960), 313-334.
[9] Y. Shen, Dong Qiu and Wei Chen, Fixed point theorems in fuzzy metric spaces, Appl. Math. Lett. 25 (2012), 138-141.
[10] L. A. Zadeh, Fuzzy sets, Inform. Control 8 (1965), 338-353.