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1996/1997 On upper and lower β-continuous multifunctions
Takashi Noiri, Valeriu Popa
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Real Anal. Exchange 22(1): 362-376 (1996/1997).


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.


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Takashi Noiri. Valeriu Popa. "On upper and lower β-continuous multifunctions." Real Anal. Exchange 22 (1) 362 - 376, 1996/1997.


Published: 1996/1997
First available in Project Euclid: 1 June 2012

zbMATH: 0899.54015
MathSciNet: MR1433621

Primary: 54C10 , ‎54C60‎

Keywords: multifunctions , quasicontinuous , β-continuous , β-open

Rights: Copyright © 1996 Michigan State University Press

Vol.22 • No. 1 • 1996/1997
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