Fixed point results for intuitionistic fuzzy mappings and an application

Article type: Research Article

Authors: Nguyen, Luong V.^{a; b; *} | Thu, Nguyen T.^c

Affiliations: [a] Laboratory of Theoretical and Computational Biophysics, Ton Duc Thang University, Ho Chi Minh City, Vietnam | [b] Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam | [c] Department of Natural Sciences, Hong Duc University, Thanh Hoa, Vietnam

Correspondence: [*] Corresponding author. Luong V. Nguyen. E-mail: [email protected].

Abstract: In this paper, we prove a fixed point theorem for intuitionistic fuzzy mappings concerning F-contractions without using the Pompeiu – Hausdorff distance between cut sets of intuitionistic fuzzy mappings. This result and its consequences extend and generalize several results in the literature. An application to the existence for solutions of a delay integral equation of Volterra type and an example are given to illustrate the usability of our results.

Keywords: Intuitionistic fuzzy mappings, intuitionistic fuzzy fixed point, nonlinear F-contractions, delay integral equations

DOI: 10.3233/JIFS-191806

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 5231-5240, 2020