scholarly journals Approximative compactness and continuity of the set-valued metric generalized inverse in Banach spaces

2015 ◽  
Vol 422 (2) ◽  
pp. 1363-1375 ◽  
Author(s):  
Shaoqiang Shang ◽  
Yunan Cui
Keyword(s):  
Banach Spaces ◽  
Generalized Inverse ◽  
Approximative Compactness ◽  
Metric Generalized Inverse

Criteria for the Metric Generalized Inverse and its Selections in Banach Spaces

2007 ◽  
Vol 16 (1) ◽  
pp. 51-65 ◽  
Author(s):  
Henryk Hudzik ◽  
Yuwen Wang ◽  
Wenjing Zheng
Keyword(s):  
Banach Spaces ◽  
Generalized Inverse ◽  
Metric Generalized Inverse

scholarly journals Approximative Compactness and Radon-Nikodym Property inw∗Nearly Dentable Banach Spaces and Applications

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Shaoqiang Shang ◽  
Yunan Cui
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Generalized Inverse ◽  
Orlicz Function ◽  
Function Spaces ◽  
Inverse Theory ◽  
Nikodym Property ◽  
Projector Operator ◽  
Approximative Compactness

Authors definew∗nearly dentable Banach space. Authors study Radon-Nikodym property, approximative compactness and continuity metric projector operator inw∗nearly dentable space. Moreover, authors obtain some examples ofw∗nearly dentable space in Orlicz function spaces. Finally, by the method of geometry of Banach spaces, authors give important applications ofw∗nearly dentability in generalized inverse theory of Banach space.

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