In this paper, we extend new selection theorems for almost lower semicontinuous multifunctions T on a paracompact topological space X to general nonconvex settings. On the basis of the KimLee theorem and the Horvath selection theorem, we first show that any a.l.s.c. C-valued multifunction admits a continuous selection under a mild condition of a one-point extension property. Finally, we apply a fundamental selection theorem, due to Ben-El-Mechaiekh and Oudadess, to modify our selection theorems by adjusting a closed subset Z of X with its covering dimension dimXZ≤0. The results derived here generalize and unify various earlier ones from classic continuous selection theory.
|頁（從 - 到）||3224-3231|
|期刊||Nonlinear Analysis, Theory, Methods and Applications|
|出版狀態||已發佈 - 2010 十一月 15|
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