The Connection Between the Metric and Generalized Projection Operators in Banach Spaces
Original Publication Title
Acta Mathematica Sinica, English Series
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
Alber, Yakov and Li, Jin Lu, "The Connection Between the Metric and Generalized Projection Operators in Banach Spaces" (2007). Faculty Research. 13.