Research article Special Issues

Existence of fixed point results in neutrosophic metric-like spaces

  • Received: 17 May 2022 Revised: 21 June 2022 Accepted: 28 June 2022 Published: 21 July 2022
  • MSC : 47H10, 54H25

  • 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

    Related Papers:

  • 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.



    加载中


    [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
  • Reader Comments
  • © 2022 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Metrics

Article views(1228) PDF downloads(65) Cited by(0)

Article outline

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog