Coupled fixed point results for multivalued mappings in Hausdorff fuzzy metric space

Article type: Research Article

Authors: Abbas, M. | Ali, Basit

Affiliations: Department of Mathematics, Lahore University of Management Sciences, Lahore, Pakistan

Note: [] Corresponding author. Basit Ali, Department of Mathematics, Lahore University of Management Sciences, Lahore – 54792, Pakistan. E-mails: [email protected] (B. Ali), [email protected] (M. Abbas).

Abstract: In this paper, we prove coupled fixed point theorem for multivalued fuzzy contraction mappings in a complete Hausdorff fuzzy metric space. As an application, coupled coincidence and common fixed point theorem is obtained for a hybrid pair of multivalued and single valued mappings. It is worth mentioning that to find coupled coincidence points we do not employ the condition of continuity of any mapping involved therein. Also, coupled coincidence points are obtained without exploiting any type of commutativity condition. Our results extend, improve, and unify some well known results in the literature.

Keywords: Coupled fixed point, t – norm, Coupled coincidence point, n – property

DOI: 10.3233/IFS-2012-0605

Journal: Journal of Intelligent & Fuzzy Systems, vol. 24, no. 4, pp. 871-877, 2013