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Semi-continuity Properties of Metric Projections

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Nonlinear Analysis

Part of the book series: Trends in Mathematics ((TM))

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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Authors and Affiliations

  1. Department of Mathematics, Pondicherry University, Pondicherry, 605014, India

    V. Indumathi

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  1. V. Indumathi
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Correspondence to V. Indumathi .

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Editors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, Uttar Pradesh, India

    Qamrul Hasan Ansari

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Indumathi, V. (2014). Semi-continuity Properties of Metric Projections. In: Ansari, Q. (eds) Nonlinear Analysis. Trends in Mathematics. Birkhäuser, New Delhi. https://doi.org/10.1007/978-81-322-1883-8_2

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