ON L-FUZZY FIXED POINT RESULTS IN G-METRIC SPACE

Hafiz Muhammad Zeeshan; Akbar Azam; Shehu Shagari Mohammed; Safara Bibi

doi:10.58715/bangmodjmcs.2023.9.2

Authors

Hafiz Muhammad Zeeshan Department of Mathematics, COMSATS University, Islamabad, Pakistan
Akbar Azam Department of Mathematics, Grand Asian University, Sialkot, Pakistan
Shehu Shagari Mohammed Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Nigeria
Safara Bibi Departamento de Ciencias Exactas y Tecnología, Centro Universitario, de los Lagos Universidad de Guadalajara, Jalisco, México

DOI:

https://doi.org/10.58715/bangmodjmcs.2023.9.2

Keywords:

L-fuzzy set, L-fuzzy fixed point, Common L-fuzzy fixed point

Abstract

Among numerous efforts in progressing fuzzy mathematics, a lot of attention has been paid to studying new L-fuzzy analogues of the conventional fixed point results and their various applications. In this note, novel concepts of L-fuzzy contractions in G-metric space is examined, and sufficient conditions for the existence of L-fuzzy fixed points for such mappings are investigated. Nontrivial examples are provided to support the assumptions of our obtained theorems. It is highlighted that the main ideas studied herein refine and include some known results in the corresponding literature. Some of these special cases of our results are pointed out and analyzed.