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On strongly \(\theta\)-continuousness and almost strongly \(\theta\)-continuousness of multifunctions. (English) Zbl 0872.54012

Summary: The aim of this paper is to introduce and study the notions of strongly \(\theta\)-upper, strongly \(\theta\)-lower and almost strongly \(\theta\)-lower semicontinuous multifunctions.

MSC:

54C60 Set-valued maps in general topology
54C08 Weak and generalized continuity