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

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 $ \mathcal {H} $-contraction in fuzzy metric space and prove some...

Full description

Bibliographic Details
Main Authors: R. Uthayakumar, A. Gowrisankar
Format: Article
Language:English
Published: Taylor & Francis Group 2015-12-01
Series:Cogent Mathematics
Subjects:
Online Access:http://dx.doi.org/10.1080/23311835.2015.1024579