A STUDY ON ITERATED FUNCTION SYSTEMS

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-12
Year of Publication : 2021
Authors : T. Abirami, M. Suresh Kumar
  10.14445/22315373/IJMTT-V67I12P505

MLA

MLA Style: T. Abirami, M. Suresh Kumar. "A STUDY ON ITERATED FUNCTION SYSTEMS" International Journal of Mathematics Trends and Technology 67.12 (2021):47-56. 

APA Style: T. Abirami, M. Suresh Kumar(2021). A STUDY ON ITERATED FUNCTION SYSTEMS International Journal of Mathematics Trends and Technology, 67(12), 47-56.

Abstract
In this paper, every metric d on a nonempty set X induces a metric h, called Hausdorff metric, on the set K(X) of the collection of all non-empty compact subsets of X. It is a well known fact that the induced metric preserves the completeness and compactness. In this paper, we discuss the existence of attractors, which is generally known as fractals, of iterated function systems using the Hausdorff metric. We also discuss how to construct the attractors of iterated function systems using the fixed points of contraction maps involved in the iterated function systems.

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Keywords : Hausdorff metric, Compact, Complete,Contraction, Iterate Function Systems,Attractor.