The purpose of this paper is to prove the Hutchinson–Barnsley operator on the product fuzzy metric space is fuzzy B-contraction. We also present the fuzzy B-contraction properties of HB operator in product fuzzy metric space. The notion of product fuzzy fractal is introduced in product fuzzy metric space in the sense of the fuzzy B-contraction. © Springer International Publishing Switzerland 2014.

Gowrisankar A

Department of Mathematics

School of Advanced Sciences

Vellore Campus

R. Uthayakumar

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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Journal	Data powered by TypesetSpringer Proceedings in Mathematics and Statistics
Publisher	Data powered by TypesetSpringer New York LLC
ISSN	21941009