Limit sets of weakly contracting relations with eventual condensation

Authors

  • Vasile Glavan Moldova State University, 60 A.Mateevici St., Chisinau, Republic of Moldova; University of Podlasie, Ul. Konarskiego 2, Siedlce, Poland.
  • Valeriu Gutu Moldova State University, 60 A.Mateevici St., Chisinau, Republic of Moldova.

Keywords:

Set-valued map, weak contraction, eventual condensation, attractor, limit relation, limit set, fractal

Abstract

Barnsley’s formula for the attractor of a hyperbolic IFS with condensation is generalized for the omega-limit set of a weakly contracting set-valued map with eventual condensation. The latter need not be a contraction, as well as its omega-limit set need not be an attractor.

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Published

2008-12-31

Issue

Vol. 4 No. 1 (2008): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

Limit sets of weakly contracting relations with eventual condensation. (2008). Journal of Prime Research in Mathematics, 4(1), 101 – 112. https://jprm.sms.edu.pk/index.php/jprm/article/view/37