In this paper, we proved that a sequential space has a cs＊-regular cs＊-network （or a cs＊-regular weak base） is metrizable, which generalized related results in [6], [12] and [14].
We pressent new Ky Fan type best approximation theorems for a discontinuous multivalued map on metrizable topological vector spaces and hyperconvex spaces. In addition, fixed point results are derived for the map stud...We pressent new Ky Fan type best approximation theorems for a discontinuous multivalued map on metrizable topological vector spaces and hyperconvex spaces. In addition, fixed point results are derived for the map studied. Our work generalizes severl results in approximation theory.展开更多
Based on the modern development of Metrization theorem for context,the main results obtained in recent ten years on point-discrete families are summarized.This paper mainly introduces the theory of the spaces with opo...Based on the modern development of Metrization theorem for context,the main results obtained in recent ten years on point-discrete families are summarized.This paper mainly introduces the theory of the spaces with opoint-discrete bases,the spaces with certain o-point-discrete networks,and the relationship between the above spaces and the spaces with certain o-compactfinite networks.展开更多
In this paper,applications of CWC-mappings are discussed in metrization theorem, and some new metrization theorems of topological spaces are obtained by Nagata's condition and weakγ-spaces,which generalizes sever...In this paper,applications of CWC-mappings are discussed in metrization theorem, and some new metrization theorems of topological spaces are obtained by Nagata's condition and weakγ-spaces,which generalizes several metrization theorems obtained by R.E.Hodel and J.Nagata.展开更多
基金Supported by the NNSF of China(10571151,10671173)Supported by the NSF of Fujian Province(2006J0228,2008F5066)
文摘In this paper, we proved that a sequential space has a cs＊-regular cs＊-network （or a cs＊-regular weak base） is metrizable, which generalized related results in [6], [12] and [14].
文摘We pressent new Ky Fan type best approximation theorems for a discontinuous multivalued map on metrizable topological vector spaces and hyperconvex spaces. In addition, fixed point results are derived for the map studied. Our work generalizes severl results in approximation theory.
文摘Based on the modern development of Metrization theorem for context,the main results obtained in recent ten years on point-discrete families are summarized.This paper mainly introduces the theory of the spaces with opoint-discrete bases,the spaces with certain o-point-discrete networks,and the relationship between the above spaces and the spaces with certain o-compactfinite networks.
基金the National Natural Science Foundation of China （No. 10571151） the Natural Science Foundation of Fujian Province （No. 2006J0228） the Natural Science Foundation of Education Department of Fujian Province （No. JB04298）.Acknowledgment The author is very grateful to Professor Lin Shou for his help and the referee for his valuable suggestions.
文摘In this paper,applications of CWC-mappings are discussed in metrization theorem, and some new metrization theorems of topological spaces are obtained by Nagata's condition and weakγ-spaces,which generalizes several metrization theorems obtained by R.E.Hodel and J.Nagata.
