C1,1 vector optimization and Riemann derivatives [PDF]
, 2004 In this paper we introduce a generalized second-order Riemann-type derivative for C1,1 vector functions and use it to establish necessary and sufficient optimality conditions for vector optimization problems.
GUERRAGGIO, ANGELO +2 more
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Analysis of a general dynamic history-dependent variational-hemivariational inequality [PDF]
, 2017 International audienceThis paper is devoted to the study of a general dynamic variational–hemivariational inequality with history-dependent operators. These operators appear in a convex potential and in a locally Lipschitz superpotential.
Sofonea, Mircea +2 more
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Analyse non lisse : - Fonction d'appui de la Jacobienne généralisée de Clarke et de son enveloppe plénière - Quelques applications aux équations de Hamilton-Jacobi du premier ordre (fonctions de Hopf-Lax, Hamiltoniens diff. convexes, solutions sci) [PDF]
, 2000 The work we present in this manuscript is divided into two parts. The first part deals with the calculus of the support functions of Clarke's generalized jacobian and of its plenary hull, associated with a locally Lipschitz continuous mapping with range ...
Imbert, Cyril
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A more robust definition of multiple priors [PDF]
This paper provides a multiple-priors representation of ambiguous beliefs à la Ghirardato, Maccheroni, and Marinacci (2004) and Nehring (2002) for any preference that is (i) monotonic, (ii) Bernoullian, i.e.
Marciano Siniscalchi, Paolo Ghirardato
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Subdifferentiability and Lipschitz continuity in experimental design problems [PDF]
, 1993 In this paper we make use of generalized gradients in the sense of Rockafellar (1980) and Clarke (1983). A chain rule is presented for the subdifferential of the composition of an information function with the moment matrix mapping.
Augsburg Univ. (Germany). Inst. fuer Mathematik +1 more
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Variational Analysis Applied to the Problem of Optical Phase Retrieval [PDF]
, 2003 We apply nonsmooth analysis to a well-known optical inverse problem, phase retrieval. The phase retrieval problem arises in many different modalities of electromagnetic imaging and has been studied in the optics literature for over forty years. The state
Luke, Russell, Burke, James V.
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The Second Welfare Theorem with public goods in general economies [PDF]
In this paper we prove a general version of the Second Welfare Theorem for a non-convex and non-transitive economy, with public goods and other externalities in consumption.
Jorge Rivera, Alejandro Jofré
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Constraint nondegeneracy, strong regularity, and nonsingularity in semidefinite programming [PDF]
, 2009 It is known that the Karush-Kuhn-Tucker (KKT) conditions of semidefinite programming can be reformulated as a nonsmooth system via the metric projector over the cone of symmetric and positive semidefinite matrices.
Zi Xian Chan, Defeng Sun
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Lexicographic differentiation of nonsmooth functions [PDF]
, 2005 We present a survey on the results related to the theory of lexicographic differentiation. This theory ensures an efficient computation of generalized (lexicographic) derivative of a nonsmooth function belonging to a special class of lexicographically ...
Nesterov, Yurii
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Unified Robust Necessary Optimality Conditions for Nonconvex Nonsmooth Uncertain Multiobjective Optimization. [PDF]
J Optim Theory Appl, 2022 Wang J, Li S, Feng M.
europepmc +1 more source