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

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Abstract

In this paper we study the connection between the metric projection operator P K : BK, 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 : BK and π K : B* → K. We also present some results in non–reflexive Banach spaces.

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Correspondence to Jin Lu Li.

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Alber, Y., Li, J.L. The Connection Between the Metric and Generalized Projection Operators in Banach Spaces. Acta Math Sinica 23, 1109–1120 (2007). https://doi.org/10.1007/s10114-005-0718-y

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  • DOI: https://doi.org/10.1007/s10114-005-0718-y

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