Title

The Connection Between the Metric and Generalized Projection Operators in Banach Spaces

Document Type

Article

Publication Date

4-2-2007

Original Publication Title

Acta Mathematica Sinica, English Series

Department

Mathematical Sciences

DOI

10.1007/s10114-005-0718-y

Abstract

In this paper we study the connection between the metric projection operator PK : B → K, where B is a reflexive Banach space with dual space B∗ and K is a non-empty closed convex subset of B, and the generalized projection operators K : B → K and πK : B∗ → K. We also present some results in non-reflexive Banach spaces

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