Iterated Function Systems On Functions Of Bounded Variation
, Franklin Mendivil
, Edward Vrscay
2016, Fractals, 24(2), pp.1650019
Abstract
We show that under certain hypotheses, an iterated function system on mappings (IFSM) is a contraction on the complete space of functions of bounded variation (BV). It then possesses a unique attractor of BV. Some BV-based inverse problems based on the Collage Theorem for contraction maps are considered.