Some fixed point results for two families of fuzzy A-dominated contractive mappings on closed ball

Article type: Research Article

Authors: Rasham, Tahair^a | Mahmood, Qasim^b | Shahzad, Aqeel^b | Shoaib, Abdullah^{b; *} | Azam, Akbar^c

Affiliations: [a] Department of Mathematics, International Islamic University, Islamabad, Pakistan | [b] Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan | [c] Department of Mathematics, Comsats University, Islamabad

Correspondence: [*] Corresponding author. Abdullah Shoaib, Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan. E-mails: abdullahshoaib15@yahoo.com; abdullah.shoaib@riphah.edu.pk.

Abstract:  The purpose of this paper is to find out common fixed point results for two families of fuzzy mappings fulfilling generalized rational type A-dominated contractive conditions on a closed ball in complete dislocated b-metric space. Example is also given which shows the novelty of our results.

Keywords: Fixed point, closed ball, two families of fuzzy mapping, dislocated b-metric space

DOI: 10.3233/JIFS-181153

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 4, pp. 3413-3422, 2019