A New Contraction Principle via Fuzzy $\mathcal{L}$-Simulation Functions

Abdelhamid  Moussaoui; Stojan   Radenovi\'{c}; Omid  Taghipour Birgani; Said Melliani

doi:10.5269/bspm.65943

A New Contraction Principle via Fuzzy $\mathcal{L}$-Simulation Functions

Abdelhamid Moussaoui
Stojan Radenovi\'{c} Faculty of Mechanical Engineering, University of Belgrade, Serbia https://orcid.org/0000-0001-8254-6688
Omid Taghipour Birgani Schol of Mathematics, Iran University of Science and Technology, Tehran, Iran https://orcid.org/0000-0002-1994-1244
Said Melliani Laboratory of Applied Mathematics \& Scientific Computing LMACS, Faculty of Sciences and Technics, Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal, Morocco https://orcid.org/0000-0002-5150-1185

Resumo

In this study, motivated by the researches of Seong-Hoon Cho [J. Abstr. Appl. Anal. V 2018, (2018)] and E. Karapinar \emph{et al}. [Filomat 35:1 (2021), 201-224], we define the concept of fuzzy $\mathcal{L}$-contraction and we prove a new fixed point theorem for such new type of mappings in the framework of fuzzy metric spaces.