Real Analysis Exchange
- Real Anal. Exchange
- Volume 22, Number 1 (1996), 362-376.
On upper and lower β-continuous multifunctions
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.
Real Anal. Exchange, Volume 22, Number 1 (1996), 362-376.
First available in Project Euclid: 1 June 2012
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Popa, Valeriu; Noiri, Takashi. On upper and lower β-continuous multifunctions. Real Anal. Exchange 22 (1996), no. 1, 362--376. https://projecteuclid.org/euclid.rae/1338515228