Fixed point theorems for fuzzy mappings with applications

Article type: Research Article

Authors: Al-Mazrooei, Abdullah Eqal | Ahmad, Jamshaid^{; *}

Affiliations: Department of Mathematics, University of Jeddah, Jeddah, Saudi Arabia

Correspondence: [*] Corresponding autor. J. Ahmad, Department of Mathematics, University of Jeddah, Jeddah, Saudi Arabia. E-mail: [email protected].

Abstract: In this paper we obtain the common fuzzy fixed points of fuzzy mappings satisfying Θ-contraction in a metric space. In the process, we generalize several well known recent and classical results. Finally, we provide an example and application to theoretical computer science to show the significance of the investigation of this paper.

Keywords: Complete metric space, Θ-contractions, fixed point, fuzzy mappings

DOI: 10.3233/JIFS-181687

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 4, pp. 3903-3909, 2019