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Best Proximity Points Read chapter Read first chapter

2014 | OriginalPaper | Chapter

Semi-continuity Properties of Metric Projections

Author : V. Indumathi

Published in: Nonlinear Analysis

Publisher: Springer India

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Abstract

This chapter presents some selected results regarding semi-continuity of metric projections onto closed subspaces of normed linear spaces. Though there are several significant results relevant to this topic, only a limited coverage of the results is undertaken, as an extensive survey is beyond our scope. This exposition is divided into three parts. The first one deals with results from finite dimensional normed linear spaces. The second one deals with results connecting semi-continuity of metric projection maps and duality maps. The third one deals with subspaces of finite codimension of infinite dimensional normed linear spaces.

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previous chapter Best Proximity Points
next chapter Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality
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Metadata
Title
Semi-continuity Properties of Metric Projections
Author
V. Indumathi
Copyright Year
2014
Publisher
Springer India
Book
Nonlinear Analysis

Print ISBN: 978-81-322-1882-1

Electronic ISBN: 978-81-322-1883-8

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-81-322-1883-8_2

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