Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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THE OPERATORS 𝜋G OF BEST APPROXIMATIONS AND CONTINUOUS METRIC PROJECTIONS

  • RHEE, HYANG JOO (Department of Mathematics, College of Natural Sciences, Duksung Women's University)
  • Received : 2022.01.07
  • Accepted : 2022.02.25
  • Published : 2022.05.30
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Abstract

In this paper, we shall consider some properties of the metric projection as a set valued mapping. For a set G in a metric space E, the mapping 𝜋G; x → 𝜋G(x) of E into 2G is called set valued metric projection of E onto G. We investigated the properties related to the projection PS(·)(·) and 𝜋S(·)(·) as one-sided best simultaneous approximations.

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Acknowledgement

This research was supported by Duksung Women's University research grants 2021.

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