<?xml version="1.0" encoding="UTF-8"?> <article key="pdf/15298" mdate="2012-08-26 00:00:00"> <author>R. Uthayakumar and D. Easwaramoorthy</author> <title>HutchinsonBarnsley Operator in Intuitionistic Fuzzy Metric Spaces</title> <pages>1161 - 1168</pages> <year>2012</year> <volume>6</volume> <number>8</number> <journal>International Journal of Mathematical and Computational Sciences</journal> <ee>https://publications.waset.org/pdf/15298</ee> <url>https://publications.waset.org/vol/68</url> <publisher>World Academy of Science, Engineering and Technology</publisher> <abstract>The main purpose of this paper is to prove the intuitionistic fuzzy contraction properties of the HutchinsonBarnsley operator on the intuitionistic fuzzy hyperspace with respect to the Hausdorff intuitionistic fuzzy metrics. Also we discuss about the relationships between the Hausdorff intuitionistic fuzzy metrics on the intuitionistic fuzzy hyperspaces. Our theorems generalize and extend some recent results related with HutchinsonBarnsley operator in the metric spaces to the intuitionistic fuzzy metric spaces. </abstract> <index>Open Science Index 68, 2012</index> </article>