Classical Concepts of Approximation Theory in Asymmetric CLUR-Spaces

Approximative compactness and stability of the metric projection, which are classical concepts of approximation theory, are extended to asymmetric spaces. Most emphasis here is placed on the classes (CLUR) and (CCLUR) of asymmetric spaces. New concepts of OR-stability, \(\pi\) -solarity, and regular approximative compactness are introduced.