Various Lipschitz-Like Properties for Functions and Sets. II: Suodifferential and Normal Characterizations

摘要

The present paper is a continuation of our previous article: "Various Lipschitz-like properties of functions and sets. I: Directional derivative and tangential characterizations" [SIAM J. Optim. 20(4) (2010) 1766-1785]. Here we provide diverse subdifferential and normal characterizations of K directionally Lipschitzian functions and sets for bounded sets of a Banach space.