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Titlebook: Quasidifferentiability and Related Topics; Vladimir Demyanov,Alexander Rubinov Book 2000 Springer-Verlag US 2000 algorithm.analysis.mathem

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,Exhausters and Convexificators — New Tools in Nonsmooth Analysis, conditions are usually expressed in terms of directional derivatives or their generalizations (the Dini and Hadamard upper and lower directional derivatives, the Clarke derivative, the Michel-Penot derivative etc.). All these derivatives are positively homogeneous functions of direction. In the con
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Minimal Pairs of Compact Convex Sets, with Application to Quasidifferential Calculus,ar, attention is paid to the problem of finding different types of minimal representatives of a pair of nonempty compact convex subsets of a locally convex topological vector space in terms of the Rådström -Hörmander Theory.
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QD and DC Optimization for Pseudoelastic Modeling of Shape Memory Alloys,stic behaviour requires the application of nonconvex and nons-mooth optimization techniques. Quasi differentiability (QD) and difference convex (DC) methods are used here. Results concerning the global properties and the optimality conditions of DC functions can be applied for the study of stable an
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Approximations to Convex-Valued Multifunctions, to explore approximations to or differentiability of convex set-valued multifunctions, including subdifferentiable multifunctions and quasidifferentiable multifunctoins. Some of first-order expansions of convex set-valued multifunctions that can be used to obtain second-order expansions of certain
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Continuous Approximations, Codifferentiable Functions and Minimization Methods,uous with respect to the initial point; this is also related to the lack of continuity properties of the quasidifferential or other differential objects obtained as linearizations of the directional derivative. In this paper we describe the notion of codifferentiability as a mean to obtain a continu
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