Generalized selection theorems without convexity

Liang-Ju Chu*, Chien Hao Huang

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

3 引文 斯高帕斯(Scopus)

摘要

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.

原文英語
頁(從 - 到)3224-3231
頁數8
期刊Nonlinear Analysis, Theory, Methods and Applications
73
發行號10
DOIs
出版狀態已發佈 - 2010 十一月 15

ASJC Scopus subject areas

  • 分析
  • 應用數學

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