In this article, we introduced the concept of neutrosophic metric-like spaces and obtained some fixed point results in the sense of neutrosophic metric-like spaces. Our results are improvements of recent results in the existing literature. For the validity of these results some non-trivial examples are imparted.
Citation: Fahim Ud Din, Khalil Javed, Umar Ishtiaq, Khalil Ahmed, Muhammad Arshad, Choonkil Park. Existence of fixed point results in neutrosophic metric-like spaces[J]. AIMS Mathematics, 2022, 7(9): 17105-17122. doi: 10.3934/math.2022941
In this article, we introduced the concept of neutrosophic metric-like spaces and obtained some fixed point results in the sense of neutrosophic metric-like spaces. Our results are improvements of recent results in the existing literature. For the validity of these results some non-trivial examples are imparted.
[1] | M. Kirişci, N. Simsek, Neutrosophic metric spaces, Math. Sci., 14 (2020), 241–248. https://doi.org/10.1007/s40096-020-00335-8 doi: 10.1007/s40096-020-00335-8 |
[2] | J. H. Park, Intuitionistic fuzzy metric spaces, Chaos Solitons Fract., 22 (2004), 1039–1046. https://doi.org/10.1016/j.chaos.2004.02.051 doi: 10.1016/j.chaos.2004.02.051 |
[3] | M. Rafi, M. S. M. Noorani, Fixed theorems on intuitionistic fuzzy metric space, Iran. J. Fuzzy Syst., 3 (2006), 23–29. |
[4] | W. Sintunavarat, P. Kumam, Fixed point theorems for a generalized intuitionistic fuzzy contraction in intuitionistic fuzzy metric spaces, Thai J. Math., 10 (2012), 123–135. |
[5] | S. Sowndrarajan, M. Jeyarama, F. Smarandache, Fixed point results for contraction theorems in neutrosophic metric spaces, Neutrosophic Sets Syst., 36 (2020), 308–318. |
[6] | N. Simşek, M. Kirişci, Fixed point theorems in Neutrosophic metric spaces, Sigma J. Eng. Nat. Sci., 10 (2019), 221–230. |
[7] | A Amini-Harandi, Metric-like paces, partial metric spaces and fixed point, Fixed Point Theory Appl., 2012 (2012), 204. https://doi.org/10.1186/1687-1812-2012-204 doi: 10.1186/1687-1812-2012-204 |
[8] | S. Shukla, M. Abbas, Fixed point results in fuzzy metric-like spaces, Iran. J. Fuzzy Syst., 11 (2014), 81–92. https://dx.doi.org/10.22111/ijfs.2014.1724 doi: 10.22111/ijfs.2014.1724 |
[9] | L. A. Zadeh, Fuzzy sets, Inf. Control, 3 (1965), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X doi: 10.1016/S0019-9958(65)90241-X |
[10] | I. Kramosil, J. Michálek, Fuzzy metric and statistical metric spaces, Kybernetika, 11 (1975), 336–344. |
[11] | A. George, P. Veeramani, On some results of analysis for fuzzy metric spaces, Fuzzy Sets Syst., 90 (1997), 365–368. https://doi.org/10.1016/S0165-0114(96)00207-2 doi: 10.1016/S0165-0114(96)00207-2 |
[12] | M. Grabiec, Fixed points in fuzzy metric spaces, Fuzzy Sets Syst., 27 (1988), 385–389. https://doi.org/10.1016/0165-0114(88)90064-4 doi: 10.1016/0165-0114(88)90064-4 |
[13] | T. Došenović, A. Javaheri, S. Sedghi, N. Shobe, Coupled fixed point theorem in b-fuzzy metric spaces, Novi Sad J. Math., 47 (2017), 77–88. https://doi.org/10.30755/NSJOM.04361 doi: 10.30755/NSJOM.04361 |
[14] | S. Sedghi, N. Shobe, Common fixed point theorem in b-fuzzy metric space, Nonlinear Funct. Anal. Appl., 17 (2012), 349–359. |
[15] | K. Javed, F. Uddin, H. Aydi, M. Arshad, U. Ishtiaq, H. Alsamir, On fuzzy b-metric-like spaces, J. Funct. Spaces, 2021 (2021), 6615976. https://doi.org/10.1155/2021/6615976 doi: 10.1155/2021/6615976 |
[16] | K. Javed, F. Uddin, H. Aydi, A. Mukheimer, M. Arshad, Ordered-theoretic fixed point results in fuzzy b-metric spaces with an application, J. Math., 2021 (2021), 6663707. https://doi.org/10.1155/2021/6663707 doi: 10.1155/2021/6663707 |
[17] | S. H. Hadi, A. H. Ali, Integrable functions of fuzzy cone and ψ-fuzzy cone and their application in the fixed point theorem, J. Interdiscip. Math., 25 (2022), 247–258. https://doi.org/10.1080/09720502.2021.1881220 doi: 10.1080/09720502.2021.1881220 |