IJPAM: Volume 16, No. 3 (2004)

ON PROPERTIES OF A CLASS OF MULTIFUNCTIONS

Erdal Ekici
Department of Mathematics
Terzioglu Campus
Canakkale Onsekiz Mart University
Canakkale, 17020, TURKEY
e-mail: eekici@comu.edu.tr


Abstract.The aim of this paper is to study upper and lower slightly precontinuous multifunctions as a generalization of upper (lower) semi-continuous multifunctions furthermore as a generalization of upper
(lower) $\alpha $-continuous multifunctions and upper (lower) precontinuous multifunctions due to Neubrunn (in 1988) and Popa (in 1988), respectively. Some characterizations and several properties concerning upper (lower) slightly precontinuous multifunctions are obtained. The relationships between upper (lower) slightly precontinuous multifunctions and upper (lower) precontinuous multifunctions are also discussed.

Received: September 9, 2004

AMS Subject Classification: 54C60, 54C08, 54C10

Key Words and Phrases: $\alpha $-open, preopen, $\alpha $-continuity, slightly precontinuity, multifunction

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 16
Issue: 3