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A sequence of sets {An} contained in a metric space X
with a metric d is said to converge 0-regularly to its limit
(see hyperspace ) provided that for each
there is a
and there is an index
such that if n > n0 then for
every two points
with
there is a connected
set
satisfying conditions
and
(see [78, Chapter 9, §3, p. 174]).
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-02-21