Affiliations: Department of Mathematics, University of Jaén, Campus las Lagunillas s/n, Jaén, Spain | Department of Mathematics, Atilim University, İncek, Ankara, Turkey | School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab
Note: [] Corresponding author. Antonio-Francisco Roldán-López-de-Hierro, Department of Mathematics, University of Jaén, Campus las Lagunillas s/n, 23071, Jaén, Spain. E-mails: [email protected], [email protected] (Antonio-Francisco Roldán-López-de-Hierro); [email protected] (Erdal Karapınar); [email protected] (Saurav Manro). The first author has been partially supported by Junta de Andalucía by project FQM-268 of the Andalusian CICYE.
Abstract: The aim of this paper is to introduce a new class of contractive mappings such as fuzzy α-ψ-contractive mappings and to present some fixed point theorems for such mappings in complete fuzzy metric space in the sense of Kramosil and Michalek. The results presented in this paper substantially generalize and extend several comparable results in the existing literature. Also, some examples are given to support the usability of our results.
Keywords: Fuzzy metric space, Fuzzy α-ψ-contractive mappings, Fixed point
