Attractor and self-similar group of generalized fuzzy contraction mapping in fuzzy metric space

R. Uthayakumar, A. Gowrisankar, Lishan Liu
2015 Cogent Mathematics  
In this paper, we construct a deterministic fractal in fuzzy metric space using generalized fuzzy contraction mapping and its fixed-point theorem in hyperspace of non-empty compact sets. Moreover, we present the self-similar group of -contraction in fuzzy metric space and prove some familiar results of self-similar group for fuzzy metric space.
doi:10.1080/23311835.2015.1024579 fatcat:lewk2kxvs5dzbfoz2g5ftxelwm