UPPER AND LOWER NA-CONTINUOUS MULTIFUNCTIONS

Abstract

The aim of this paper is to introduce a new class of continuous multifunctions, namely upper and lower na-continuous multifunctions, and to obtain some characterizations concerning upper and lower nacontinuous multifunctions. The authors investigate the graph of upper and lower na-continuous multifunctions, and the preservation of properties under upper na-continuous multifunctions. Also, the relationship between upper and lower na-continuous multifunctions and some known types of continuous multifunctions are discussed.

Keywords

• α-open sets,δ-open sets,multifunctions,α-compact spaces,δ-connected spaces,2010 AMS Classification: 54 C 60

UPPER AND LOWER NA-CONTINUOUS MULTIFUNCTIONS

Abstract

References

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