Continuity of Metric Projection, Pólya Algorithm, Strict Best Approximation, and Tubularity of Convex Sets

Convergence of Pólya Algorithm and Conti

Convergence of Pólya Algorithm and Continuous Metric Selections in Space of Continuous Functions

✍ W. Li 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 601 KB

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. 1995 Academic Press