Quasicontinuity and related properties
of functions and multivalued maps

Abstract: The main results presented in this paper concern multivalued maps. We consider the cliquishness, quasicontinuity, almost continuity and almost quasicontinuity; these properties of multivalued maps are characterized by the analogous properties of some real functions. The connections obtained are used to prove decomposition theorems for upper and lower quasicontinuity.

Keywords: uniform space, multivalued map, quasicontinuity

Classification (MSC91): 54C08, 54C60, 26A25

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