2-Strict Convexity and Continuity of Set-Valued Metric Generalized Inverse in Banach Spaces

Authors investigate the metric generalized inverses of linear operators in Banach spaces. Authors prove by the methods of geometry of Banach spaces that, if X is approximately compact and X is 2-strictly convex, then metric generalized inverses of bounded linear operators in X are upper semicontinuo...

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Bibliographic Details
Main Authors: Shaoqiang Shang, Yunan Cui
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/384639