Some Fixed Point Results in Neutrosophic b-Metric Spaces
DOI:
https://doi.org/10.23755/rm.v49i0.1434Keywords:
Fixed point, Neutrosophic b-Metric Space.Abstract
Several fixed point theorems in the Neutrosophic b-Metric Spaces are presented in this study. We provide a necessary condition for a sequence to be Cacuhy in the Neutrosophic b-Metric Space, which is a significant result. Additionally, we present a large number of fixed point theorems in the Neutrosophic b-Metric Spaces under the wellknown contraction conditions.References
Atanassov, K. Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96. http://doi.org/10.1016/S0165-0114(86)80034-3.
Atanassov, K. and Georgeiv, C. Intuitionistic fuzzy prolog, Fuzzy Sets and Systems 53(1993) 121-128. https://doi.org/10.1016/0165-0114(93)90166-F.
Biswas, R. et al, An application of intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets and Systems, 117 (2001), 209-213. http://doi.org//10.1016/S0165-0114(98)00235-8.
Boriceanu, M., Bota, M. and Petrusel, Adrian Multivalued fractals in b-metric spaces, Cen. Eur. J. Math., 8 (2) (2010), 367-377. DOI: 10.2478/s11533-010-0009-4.
Czerwik, S. Contraction mappings in b-metric spaces, Acta. Math. Inform. Univ. Ostraviensis, 1(1) (1993), 5-11. http://dml.cz/dmlcz/120469.
Dosenovic, T., Javaheri, A., Sedghi, S., Shobe, N. Coupled fixed point theorem in b-fuzzy metric spaces, Novi Sad J. Math. 47 (1) (2017), 77-88. DOI: 10.30755/NSJOM.04361
Jeyaraman. M, Hassen , Aydi, Manuel, De , La,Sen, New Results for Multivalued Mappings in Hausdraff Neutrosophic Metric Space, Axioms 11(12)(724),1-14.https://doi.org/10.3390/axioms11120724
Jeyaraman M. and Poovaragavan D. Fixed Point Results in Generalized bFuzzy Metric Spaces, Adv. Fixed Point Theory, 11 (2021), Article ID 6. http://doi.org/10.28919/afpt/5377.
Shakila V. B. and Jeyaraman M. Fixed Point Theorems of Contractive Mappings in Neutrosophic b-Metric Spaces, Journal of Algebraic Statistics 13 (3) (2022),1330-1342.
Sowndrarajan. S, Jeyaraman. M, Smarandache. F, Fixed Point Results for Contraction Theorems in Neutrosophic Metric Spaces, Neutrosophic Sets and Systems, 36(2020),308-318.http://dx.doi.org/10.5281/zenodo.4065458
Samarandache. F, Neutrosophic set, a generalisation of the intuitionistic fuzzy sets, Int J. Pure Appl. Math., 24, 287-297,(2005).https://www.ijpam.eu/contents/2005-24-3/1/1.
Venkata, G., Babu, R., Tolera Masissa, D. Fixed points in b-metric spaces via simulation function. Novi Sad J. Math. 47 (2) (2017), 133-147. https://doi.org/10.30755/NSJOM.05964
Zadeh L. A. Fuzzy sets. Inform Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
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