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Convergence of Subdifferentials of Convexly Composite Functions

Convergence of Subdifferentials of Convexly Composite Functions

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 …