## Real Analysis Exchange

### On upper and lower β-continuous multifunctions

#### Abstract

In this paper the authors define a multifunction $F:X \mapsto Y$ to be upper (respectively, lower) $\beta$-continuous if $F^+(V)$ (resp. $F^-(V))$ is $\beta$-open in $X$ for every open set $V$ of $Y$. They obtain some characterizations and several properties concerning upper (resp. lower) $\beta$-continuous multifunctions. The relationships between these multifunctions and quasi continuous multifunctions are investigated.

#### Article information

Source
Real Anal. Exchange, Volume 22, Number 1 (1996), 362-376.

Dates
First available in Project Euclid: 1 June 2012