On the interchange of subdifferentiation and epi-convergence

[摘要] Given a sequence (f(n)) of nonconvex nondifferentiable functions, or, more generally, a parametrized family of such functions which epi-converges to some function f(o) we give conditions in order to have partial derivative(-)f(o) = lim(n), partial derivative(-)f(n), where partial derivative(-)f(o) is the Frechet subdifferential of f(o). We also give conditions in order to get inclusons instead of equality. We point out an application to second-order epi-derivatives. (C) 1995 Academic Press, Inc.

[发布日期] 1995-12-01