Fixed fuzzy points of generalized Geraghty type fuzzy mappings on complete metric spaces

نویسندگان
Abbas, M. ID 1
Ali, B. ID 2

1 Department of Mathematics and Applied Mathematics, University of Pre- toria, Hatfield, Pretoria, South Africa

2 Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield 0002, Pretoria South Africa

doi
10.22111/ijfs.2015.2089
چکیده

Generalized Geraghty type fuzzy mappings oncomplete metric spaces are introduced and a fixed point theorem thatgeneralizes some recent comparable results for fuzzy mappings incontemporary literature is obtained. Example is provided to show thevalidity of obtained results over comparable classical results for fuzzymappings in fixed point theory. As an application, existence of coincidencefuzzy points and common fixed fuzzy points for hybrid pair of single valuedself mapping and a fuzzy mapping is also established.

کلیدواژه‌ها
Fixed fuzzy point, Geraghty type, Fuzzy mapping, Fuzzy set, Approximate quantity