On cyclic (ψ, �)-contractions in Kaleva-Seikkala's type fuzzy metric spaces

Article type: Research Article

Authors: Jleli, Mohamed | Karapınar, Erdal | Samet, Bessem

Affiliations: Department of Mathematics, King Saud University, Riyadh, Saudi Arabia | Department of Mathematics, Atılım University, İncek, Ankara, Turkey

Note: [] Corresponding author. Erdal Karapınar, Department of Mathematics, Atılım University, İncek, Ankara, Turkey. E-mails: jleli@ksu.edu.sa (Mohamed Jleli); erdalkarapinar@yahoo.com, ekarapinar@atilim.edu.tr (Erdal Karapınar); bessem.samet@gmail.com (Bessem Samet).

Abstract: In this paper we introduce the notion of cyclic (ψ, �)-contractions on fuzzy metric spaces in the sense of Kaleva and Seikkala, and we discuss the existence and uniqueness of fixed points for mappings satisfying such type of contractions.

Keywords: Fixed point, cyclic, (ψ, �)-contractions, Fuzzy metric spaces, Fuzzy numbers

DOI: 10.3233/IFS-141170

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 4, pp. 2045-2053, 2014