Results 81 to 90 of about 2,024 (222)
Multivalued Usco Functions and Stegall Spaces
Revista de Ciencias, 2018 In this article we consider the study of the -differentiability and -ifferentiability for convex functions, not only in the general context of topological vector spaces (), but also in the context of Banach spaces.
Diana Ximena Narváez
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Subdifferential characterization of s -lower regular functions
, 2014 International audienceAs for Moreau envelopes of primal lower nice as well as prox-regular functions, Moreau s-envelopes of s-lower regular functions have been proved recently to have several remarkable differential properties and to have many important ...
I. Kecis +3 more
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OPTIMIZATION OF DIFFERENTIAL INCLUSIONS OF PARABOLIC TYPE
Electrica, 2003 Sufficient conditions for optimality are derived for the problems under consideration on the basis of the apparatues of locally conjugate mappings.
E. N. MAHMUDOV
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Electronic Journal of Qualitative Theory of Differential Equations, 2005 We investigate the existence of local approximate and strong solutions for a time-dependent subdifferential evolution inclusion with a nonconvex upper-semicontinuous perturbation.
S. Guillaume, A. Syam
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Calculating the proximal subdifferential via the quasidifferential
, 2008 The relation between the proximal subdifferential and the quasidifferential for a function, which is B-differentiable (uniformly directionally differentiable) and quasidifferentiable (in the sense of Demyanov and Rubinov), is developed.
Gao, Yan
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A THEOREM ON THE SUBDIFFERENTIAL CALCULATION
Demonstratio Mathematica, 1988 Let X, Y be Banach spaces, \(a\in Y\), \(\Lambda\in {\mathcal L}(X,Y)\), Im \(\Lambda\) closed in Y. Let F: \(Y\to \bar R\) be a proper convex function. If F is continuous in at least one point of Im \(\Lambda\) \(+a\), and \(G(x)=F(\Lambda x+a)\), then we prove that \(\partial G(x)=\Lambda^*F(\Lambda x+a)\), where \(\Lambda^*\) is the conjugate of ...
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A new tour on the subdifferential of the Supremum function
, 2023 This chapter is a survey presenting various characterizations of the subdifferential of the pointwise supremum of convex functions, as well as some featured applications.
López, Marco, Hantoute, Abderrahim
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Almost periodic solutions of differential inclusions governed by subdifferentials
Electronic Journal of Differential Equations, 2016 Sufficient conditions are given to ensure the existence and eventually the uniqueness of bounded and almost periodic solutions of evolution equations governed by subdifferential operators.
Karim El Mufti
doaj
Topological Properties of the Approximate Subdifferential
, 1997 The approximate subdifferential introduced by Mordukhovich has attracted much attention in recent works on nonsmooth optimization. Potential advantages over other concepts of subdifferentiability might be related to its nonconvexity.
Henrion, René
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Weak subdifferential/superdifferential, weak exhausters and optimality conditions
, 2015 WOS: 000360382200001In this work, the notion of weak superdifferential is presented. Some calculation rules are given to evaluate weak subdifferential and weak superdifferential of some classes of functions represented by support functions.
Urbanski, Ryszard +6 more
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