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Asian Research Journal of Mathematics

Asian Research Journal of Mathematics, 2456-477X,Vol.: 3, Issue.: 4


Invariant Compact Sets of Nonexpansive Iterated Function Systems


Francisco J. Solis1* and Ezequiel Ojeda-Gomez1
1Center of Research in Mathematics, CIMAT, Guanajuato 36000, México.


Article Information
(1) Firdous Ahmad Shah, Department of Mathematics, University of Kashmir, South Campus, Anantnag, Jammu and Kashmir, India.
(1) William H. Sulis, University of Waterloo, Waterloo, Canada and McMaster University, Hamilton, Canada.
(2) Andrzej Wisnicki, Rzeszow University of Technology, Rzeszow, Poland.
(3) Srijanani Anurag Prasad, The Northcap University, Gurgaon, India.
(4) Sergei Soldatenko, Institute for Informatics and Automation of the Russian Academy of Sciences, Russia.
Complete Peer review History: http://www.sciencedomain.org/review-history/18676




In this work we prove the existence of invariant compact sets under the action of nonexpansive iterated functions systems on normed spaces. We generalized the previous result to convex metric spaces and we also show that uniqueness of invariant compact sets is not guaranteed. Finally, in the last section we prove a result that provides a method for calculating an invariant set under nonexpansive iterated functions systems which is maximal with respect to inclusion.


Keywords :

Nonexpansive; iterated function systems; compact sets.


Full Article - PDF    Page 1-10    Article Metrics


DOI : 10.9734/ARJOM/2017/32634

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