Abstract
Authors investigate the metric generalized inverses of linear operators in Banach spaces. Authors prove by the methods of geometry of Banach spaces that, ifXis approximately compact andXis 2-strictly convex, then metric generalized inverses of bounded linear operators inXare upper semicontinuous. Moreover, authors also give criteria for metric generalized inverses of bounded linear operators to be lower semicontinuous. Finally, a sufficient condition for set-valued mappingT∂to be continuous mapping is given.
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