Fixed Point Results for Some Contractions in Non- Triangular Non-Archimedean Extended Fuzzy b-Metric Spaces

Authors

V. Parvaneh, Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, IranFollow
R. J. Shahkoohi, Department of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad katoul, Iran.Follow
N. Hussain, Department of Mathematics, King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi ArabiaFollow
Z. Bagheri, Department of Mathematics, Azadshahr Branch, Islamic Azad University, Azadshahr, Iran.Follow

Author Country (or Countries)

Iran

Abstract

In this paper, we investigate the existence of fixed points under various contractive conditions such as Geraghty contractions, comparison contractions and JS-contractions in the setup of extended fuzzy $b$-metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results. Our results generalize and extend comparable results in fuzzy metric and fuzzy b-metric spaces.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140320

Recommended Citation

Parvaneh, V.; J. Shahkoohi, R.; Hussain, N.; and Bagheri, Z. (2020) "Fixed Point Results for Some Contractions in Non- Triangular Non-Archimedean Extended Fuzzy b-Metric Spaces," Applied Mathematics & Information Sciences: Vol. 14: Iss. 3, Article 20.
DOI: http://dx.doi.org/10.18576/amis/140320
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss3/20