Abstract
In this paper, continuity points and continuous homogeneous selections of the set-valued metric generalized inverses T∂ in Banach spaces are investigated by means of the methods of geometry of Banach spaces. Moreover, the relation between continuity points and continuous homogeneous selection of the set-valued metric generalized inverse are given in approximatively compact Banach spaces. The results are an answer to the problem posed by Nashed and Votruba.
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