@article{reiland_1990, title={Nonsmooth invexity}, volume={42}, ISSN={0004-9727 1755-1633}, url={http://dx.doi.org/10.1017/S0004972700028604}, DOI={10.1017/S0004972700028604}, abstractNote={The concept of invexity is extended to nondifferentiable functions. Characterisations of nonsmooth invexity are derived as well as results in unconstrained and constrained optimisation and duality. The principal analytic tool is the generalised gradient of Clarke for Lipschitz functions.}, number={3}, journal={Bulletin of the Australian Mathematical Society}, publisher={Cambridge University Press (CUP)}, author={Reiland, Thomas W.}, year={1990}, month={Dec}, pages={437–446} } @article{reiland_1989, title={Generalized differentiability for a class of nondifferentiable operators with applications to nonsmooth optimization}, volume={47}, ISSN={0263-6115}, url={http://dx.doi.org/10.1017/S144678870003127X}, DOI={10.1017/S144678870003127X}, abstractNote={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.}, number={1}, journal={Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics}, publisher={Cambridge University Press (CUP)}, author={Reiland, Thomas W.}, year={1989}, month={Aug}, pages={114–132} }