Affiliations: Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bang Mod, Thung Khru, Bangkok, Thailand | Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani, Thailand
Note: [] Corresponding authors: Wutiphol Sintunavarat, Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand. Tel.: +66 02 564 4440/Ext. 2101; Fax: +66 02 564 4489; E-mails: [email protected] (Wutiphol Sintunavarat); [email protected], [email protected] (Poom Kumam); [email protected] (Supak Phiangsungnoen).
Note: [] Corresponding author. Poom Kumam, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand. Tel.: +66 02 470 8998/Ext. 8998; Fax: +66 02 428 4025; E-mails: [email protected], [email protected] (Poom Kumam); [email protected] (Wutiphol Sintunavarat); [email protected] (Supak Phiangsungnoen).
Abstract: The object of this paper is to extend the concept of β-admissible for multivalued mappings due to Mohammadi et al. [B. Mohammadi, S. Rezapour and N. Shahzad, Some results on fixed points of α-ψ-Ciric generalized multifunctions, Fixed Point Theory and Applications 2013 (2013), 24] to fuzzy mappings and utilize this concept to prove a common α-fuzzy fixed point theorem for a pair of fuzzy mappings. We also give illustrative example which demonstrate the validity of the hypotheses of our results. Some related results to common fixed point for multivalued mappings are also derived from the main result.
Keywords: Fuzzy set, fuzzy mapping, α-fuzzy fixed point, $\beta_\mathcal{F}$-admissible
