ON upper and lower SP-θ (semi-pre-θ)-Continuous Multifunctions
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 6, Issue 2
Abstract
In this paper we introduce and investigate a new types of multifunctions called upper(lower) sp-θ-continuous multifunctions and upper(lower) semi-pre-θ-continuous multifunctions by using the notions in [1]. The concept of upper(lower) sp-θ-continuous multifunctions is stronger than both upper(lower) sp-continuous multifunctions [1] and upper(lower) semi-pre-θ-continuous multifunctions. And the concept of  upper(lower) semi-pre-θ-continuous multifunctions is a generalization of upper(lower) sp-θ-continuous multifunctions and stronger than upper(lower) semi-pre-continuous multifunctions. Furthermore, the relationships among these notions and other of well-known types of multifunctions are also discussed.
Authors and Affiliations
Alaa Mahmood Farhan, Xiao Song Yang
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