## Nonsmooth optimization and related topics |

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31 pages matching **subdifferential** in this book

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### Contents

Scalar and vector generalized convexity E Castagnoli | 1 |

Compactness and boundedness for a class of concaveconvex | 23 |

Applications of proximal subgradients F H Clarke | 39 |

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### Common terms and phrases

angle of attack apply assume assumption Banach space bounded calculus closed convex codifferentiable compact Compute concave consider constraints continuous convergence Convex Analysis convex cone convex function convex set Corollary defined definition denote df(x differentiable directional derivative equations Example exists F.H. Clarke finite fuzzy global gradient hence Hilbert space holds implies inequality inf sup Lemma liminf limsup linear Lipschitz Lipschitzian lower semicontinuous mapping Math Mathematics maximum method Minimax Algorithm minimization minimum point Moreover necessary condition neighbourhood nonconvex nondifferentiable nonempty nonlinear programming nonsmooth obtain optimal control optimal solutions optimal trajectory optimality conditions optimization problems penalty function problem 1.1 Proof properties Proposition prove proximal normal quadratic R.T. Rockafellar RU{+oo satisfied search direction Section sequence SIAM space Stackelberg subdifferential subgradient subset sufficient conditions sup inf Suppose T-functionals Theorem 2.2 theory topology upper value function variables windshear