A Fixed Point Approach to Lattice Fuzzy Set via F-Contraction

Shazia Kanwal, Akbar Azam, Muhammad Gulzar and Gustavo Santos-García ()
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Shazia Kanwal: Department of Mathematics, Government College University Faisalabad, Punjab 38000, Pakistan
Akbar Azam: Department of Mathematics, Grand Asian University Sialkot, Punjab 51310, Pakistan
Muhammad Gulzar: Department of Mathematics, Government College University Faisalabad, Punjab 38000, Pakistan
Gustavo Santos-García: IME, Universidad de Salamanca, 37008 Salamanca, Spain

Mathematics, 2022, vol. 10, issue 19, 1-15

Abstract: In this work, we design and demonstrate the occurrence of L -fuzzy common fixed points of L -fuzzy mappings ( L -FM) meeting contractive criteria in the framework of complete b-metric spaces (b-MS) employing F-contractions and a certain class of continuous functions. We also conduct a case study to determine the implementation of our derived principles. A few other concepts which are the direct consequences of our findings are explained in this paper.

Keywords: b-metric space; L -fuzzy common fixed point; Hausdorff metric space; L -fuzzy mapping; F-contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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