Resumen de Criteria of strong nearest-cross points and strong best approximation pairs

Wenxi Pan, Jingshi Xu

• The concept of strong nearest-cross point (strong n.c. point) is introduced, which is the generalization of strong uniqueness of best approximation from a single point. The relation connecting to localization is discussed. Some criteria of strong n.c. points are given. The strong best approximation pairs are also studied.