Abstract
In this paper, we introduce and study $p$-uniform subsmoothness of a collection of infinitely many closed sets in a Banach space. Using variational analysis and techniques, we mainly study linear regularity for a collection of infinitely many closed sets satisfying $p$-uniform subsmoothness. The necessary or/and sufficient conditions on the linear regularity are obtained in this case. In particular, we extend the characterizations of linear regularity for a collection of infinitely many closed convex sets to the nonconvex setting.
Citation
Zhou Wei. "LINEAR REGULARITY FOR AN INFINITE SYSTEM FORMED BY $\small\textit{p}$-UNIFORMLY SUBSMOOTH SETS IN BANACH SPACES." Taiwanese J. Math. 16 (1) 335 - 352, 2012. https://doi.org/10.11650/twjm/1500406544
Information