Metric Projection Operator and Continuity of the Set-Valued Metric Generalized Inverse in Banach Spaces

摘要

In this paper, continuous homogeneous selection and continuity for the set-valued metric generalized inverses T-partial derivative in 3-strictly convex spaces are investigated by continuity of metric projection. The results are an answer to the problem posed by Nashed and Votruba. Moreover, authors prove that there exists a proximinal hyperplane.. such that P-H is continuous and.. is not approximative compact.