Convergence of Subdifferentials of Convexly Composite Functions
C. Combari, R. A. Poliquin, Lionel Thibault · Canadian Journal of Mathematics · 1999
Abstract In this paper we establish conditions that guarantee, in the setting of a general Banach space, the Painlevé-Kuratowski convergence of the graphs of the subdifferentials of convexly composite functions. We also provide applications to the convergence of multipliers of families of constrained optimization problems and to the generalized second-order derivability of convexly composite functions.