LIMIT SETS OF WEAKLY CONTRACTING RELATIONS WITH EVENTUAL CONDENSATION

Barnsleyʹs 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 acontraction, as well as its omega-limit set need not be an attractor. Barnsleyʹs 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.