Issue:

SSRSMI, Number 2, Volume XXVI

Section:

Volume 26, Number 2

Abstract:

The notion of complete continuity of functions (Kyungpook Math. J. 14(1974), 131-143) is extended to the realm of multifunctions. Basic properties of upper (lower) completely continuous multifunctions are studied and their place in the hierarchy of variants of con-tinuity of multifunctions is elaborated. Examples are included to reflect upon the distinc-tiveness of upper (lower) complete continuity of multifunctions from that of other vari-ants of continuity of multifunctions which already exist in the literature. Interplay be-tween topological properties and completely continuous multifunctions is considered.

Keywords:

upper/lower (almost) completely continuous multifunction, upper/lower (almost) cl-supercontinuous multifunction, upper/lower (almost) z-supercontinuous multifunction, upper/lower (almost) perfectly continuous multifunction, S-closed, almost regular, almost completely regular, nearly compact, nearly paracompact.

Code [ID]:

SSRSMI201602V26S01A0009 [0004502]

DOI:

Full paper:

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