Common fixed point theorems for hybrid pairs of L-fuzzy mappings in non-Archimedean modified intuitionistic fuzzy metric spaces

Article type: Research Article

Authors: Imdad, Mohammad^{a; *} | Ahmed, M.A.^b | Nafadi, H.A.^c

Affiliations: [a] Department of Mathematics, Aligarh Muslim University, Aligarh, India | [b] Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt | [c] Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt

Correspondence: [*] Corresponding author. Mohammad Imdad, Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India. Tel.: +91 9897260980; E-mails: [email protected]; [email protected]; [email protected].

Abstract: In this paper, we adopt the notion of CLR property for hybrid pairs of L-fuzzy mappings in non-Archimedean modified intuitionistic fuzzy metric spaces and utilize the same to prove some common fixed point theorems for L-fuzzy mappings in non-Archimedean modified intuitionistic fuzzy metric spaces. Our results generalize and improve several earlier relevant known results. We also substantiate our results using illustrative examples.

Keywords: Modified IFMS, hybrid pairs of mappings, common fixed point

DOI: 10.3233/JIFS-16966

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 1, pp. 667-677, 2017