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On some forms of quasi-uniform convergence of transfinite sequence of multifunctions

100%

Przemski M.

Commentationes Mathematicae

2010

tom 50

nr 1

In this paper we introduce various forms of convergence of transfinite sequences of multifunctions with values in a quasi-uniform space. We also study some weak types of continuity for such multifunctions. Any such sequence of multifunctions generates the sequence of the sets of weak types of continuity points and the sequence of various types of cluster sets of members of such sequence. We study the connection between convergence of a transfinite sequences of multifunctions and convergence of the corresponding sequences of the sets of the weak continuity points and the sequences of cluster sets. Some of the presented results concern of general nets of multifunctions.

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1 Commentationes Mathematicae

1 Przemski M.

1 2010

Wyniki wyszukiwania

On some forms of quasi-uniform convergence of transfinite sequence of multifunctions