Existence and Uniqueness Common Fixed Point in Fuzzy b-Matric Space

Authors

  • Ban Nazar Ali Departmentof Mathematics, University of Al-Qadisiyah, Diwaniyah , Iraq
  • Alia Shani Hassan Departmentof Mathematics, University of Al-Qadisiyah, Diwaniyah , Iraq

DOI:

https://doi.org/10.29304/jqcsm.2024.16.11448

Keywords:

Fuzzy metric space, Fuzzy b- metric, common Fixed points

Abstract

Multiple fixed points common to fuzzy spaces b-metric are  presented in this work. We provide an appropriate requirement for a sequence on the fuzzy space  b-metric  to be Cauchy, which is a significant outcome. As a result, we streamline the numerous theorem of point fixed proofs on a fuzzy space  for  b-metrics with established contraction conditions.

Downloads

Download data is not yet available.

References

L.A. Zadeh, “Fuzzy sets”, Information and control 8(3) (1965) 338-353.

I. Bakhtin, “The contraction mapping principle in quasimetric spaces”, Functional analysis 30 (1989) 26-37.

S. Heilpern, “ Fuzzy mappings and fixed point theorem”, Journal of Mathematical Analysis and Applications 83(2) (1981) 566-569.

O. Kaleva, S. Seikkala, “On fuzzy metric spaces”, Fuzzy sets and systems 12(3) (1984) 215-229.

S. Czerwik, “Contraction mappings in $ b $-metric spaces”, Acta mathematica et informatica universitatis ostraviensis 1(1) (1993) 5-11.

Z. Hassanzadeh, “S. Sedghi, Relation between b-metric and fuzzy metric spaces”, Mathematica Moravica 22(1) (2018) 55-63.

S. Sedghi, N. Shobe, J. Park, “Common fixed point theorem in b-fuzzy metric space”, Nonlinear Functional Analysis and Applications 17(3) (2012) 349-359.

T. Norms, “Trends in Logic”, Studia Logica Library 8 (2000).

A. George, P. Veeramani, “On some results in fuzzy metric spaces”, Fuzzy sets and systems 64(3) (1994) 395-399.

T. Došenovic, A. Javaheri, S. Sedghi, N. Shobe, “Coupled fixed point theorem in b-fuzzy metric spaces”, Novi Sad J. Math 47(1) (2017) 77-88.

D. Rakić, A. Mukheimer, T. Došenović, Z.D. Mitrović, S. Radenović, “On some new fixed point results in fuzzy b-metric spaces”, Journal of Inequalities and Applications 2020 (2020) 1-14.

Venkata, G., Babu, R., Tolera Masissa, D, “ Fixed points in b-metric spaces via simulation function” , Novi Sad J. Math. 47(2), 133–147 (2017) 3

V. Gupta, N. Mani, and A. Saini, “ Fixed point theorems and its applications in fuzzy metric spaces”, Proceedings of the Conference AEMDS-2013, 2013.

Downloads

Published

2024-03-30

How to Cite

Nazar Ali, B., & Shani Hassan, A. (2024). Existence and Uniqueness Common Fixed Point in Fuzzy b-Matric Space. Journal of Al-Qadisiyah for Computer Science and Mathematics, 16(1), Math. 48–64. https://doi.org/10.29304/jqcsm.2024.16.11448

Issue

Section

Math Articles