1989 journal article
Generalized differentiability for a class of nondifferentiable operators with applications to nonsmooth optimization
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 47(1), 114–132.
open access via www.cambridge.org (publisher PDF)
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Added: December 11, 2020
AbstractA theory of generalized gradients is presented for a class of Lipschitz vector-valued mappings from a Banach space to a locally convex order complete vector lattice. Necessary optimality conditions are obtained for nonconvex programming problems on Banach spaces with vector- valued operator constraints and/or an arbitrary set constraint. Sufficient optimality conditions are also obtained under mild convexity assumptions.