Journal of Approximation Theory
We show that one can construct a continuous selection for the metric projection in the space of continuous functions by the Pólya algorithm. Moreover, the existence of a continuous selection for the metric projection is equivalent to the stable convergence of the Pólya algorithm.
Original Publication Citation
Li, W. (1995). Convergence of pólya algorithm and continuous metric selections in-space of continuous-functions. Journal of Approximation Theory, 80(2), 164-179. doi:10.1006/jath.1995.1013
Li, Wu, "Convergence of Pólya Algorithm and Continuous Metric Selections in Space of Continuous Functions" (1995). Mathematics & Statistics Faculty Publications. 147.