A Examining Fuzzy Partial Metric Space and Associated Outcomes
Fuzzy Partial Metric Space and Associated Outcomes
Keywords:
Fixed point theorem, fuzzy sets, fuzzy metric space, and partial metric space.Abstract
Using the concept of a PM space with fuzzy, we present idea of a FPMS in this paper. A point's self-distance in partial metric space does not always equal to zero. Ordinary metric is a subset of partial metric. Additionally, we define continuous t-Norms. Partial fuzzy contraction mapping is defined here. We also demonstrate that, in certain circumstances, the complete partial metric space has a common fixed point through use of contraction mapping. Relevant examples are used as provide results.
2020 AMS Classification: 47H10, 37C25, 30L15.
Downloads
References
Aygün, H.; Güner, E.; Miñana,, Fuzzy Partial Metric Spaces and Fixed Point Theorems, Mathematics, 10 (2022), 3092.
Amer, F.J. , Fuzzy Partial Metric Spaces, In: Anastassiou, G., Duman, O. (eds) Computational Analysis. Springer Proceedings in Mathematics & Statistics, vol 155.(2016), Springer, Cham. https://doi.org/10.1007/978-3-319-28443-9_11.
Altun I, Sola F, Simsek H, Generalized contractions on partial metric spaces, Topology and its Applications, 157(18), (2010),2778-2785.
Başak Aldemir, Elif Guner, Some Fixed Point Theorems in Partial Fuzzy Metric Spaces, Journal of the Institute of Science and Technology :10(4), (2020),2889-2900.
Bukatin M, Kopperman R, Matthews S, Pajoohesh H, Partial Metric Space, The American Mathematical Monthly, 116(8), (2009),708-718.
Elif Guner, Halis Aygun, A new approach to fuzzy partial metric spaces, Hacet. J.Math. Stat.; 51(6), (2022),1563-1576.
Fariha Amer, Product of Fuzzy Partial Metric Space, Journal of Educational; 17, (2020), 279-286.
George A, Veeramani P, On Some Results in Fuzzy Metric Space, Fuzzy Sets and Systems, 90, (1994),365-368.
Gregori V, Miñana JJ, Miravet D, Fuzzy partial metric spaces, International Journal of General Systems, 48(3),(2019),260-279.
Gregori V, Morillas S, Sapena A, On a class of completable fuzzy metric spaces, Fuzzy Sets and Systems 161(16), (2010),2193-2205.
Gregori V, Sapena A, On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems, 125,(2002), 245- 252.
Grabiec M, Fixed point in fuzzy metric space, Fuzzy Sets and Systems, 27(3),(1988), 385-389.
Haghi RH, Rezapour S, Shahzad N, Be careful on partial metric fixed point results, Topology and its Applications, 160(3),(2013), 450-454.
Ismat Beg, Shaban Sedghi,, Fixed point theorem in fuzzy metric spaces, International Journal of Analysis, (2013),1-4.
Matthews S,Partial Metric Topology, Annals of the New York Academy of Sciences-Paper Edition, 728,(1994),183-197.
Mustafa Z, Sims B, A new approach to generalized metric spaces, Journal of Nonlinear and Convex Analysis, 7(2), (2006), 289-297.
O’Neill SJ, Partial metrics, valuations and domain theory, Annals of the New York Academy of Sciences, 806(1),(1996),304-315.
Sedghi S, Shobkolaei N, Altun I, Partial fuzzy metric space and some fixed point results, Communications in Mathematics, 23(2),(2015),131-142.
Vasuki R, Veeramani P, Fixed Point Theorems and Cauchy Sequences in Fuzzy Metric Spaces, Fuzzy Sets and Systems, 135(3),(2003),415-417.
Yueli Yue,Meiqi Gu,Fuzzy Partial (Pseudo) metric spaces, Journal of Intelligent & Fuzzy system; 27,(2014), 1153-1159.
Zadeh, LA, Fuzzy sets,. Information and Control, 8(3),(1965),338-353.
Zun-Quan Xia, Fang-Fang Guo, Fuzzy metric Spaces ,16(1-2),(2004), 371-38.
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.



