Displaying similar documents to “Almost quasicontinuity of multivalued maps on product spaces”

On almost quasicontinuous functions

Ján Borsík (1993)

Mathematica Bohemica

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A function f : X Y is said to be almost quasicontinuous at x X if x C I n t C f - 1 ( V ) for each neighbourhood V of f ( x ) . Some properties of these functions are investigated.

Quasicontinuity and related properties of functions and multivalued maps

Janina Ewert (1995)

Mathematica Bohemica

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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.