Results 11 to 20 of about 2,024 (222)
Subdifferential Test for Optimality [PDF]
Journal of Global Optimization, 2013 International audienceWe provide a first-order necessary and sufficient condition for optimality of lower semicontinuous functions on Banach spaces using the concept of subdifferential.
Lassonde, Marc, Jules, Florence
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On the theory of subdifferentials
Advances in Nonlinear Analysis, 2012 The theory presented in the paper consists of two parts. The first is devoted to basic concepts and principles such as the very concept of a subdifferential, trustworthiness and its characterizations, geometric consistence, fuzzy principles and calculus ...
Ioffe Alexander D.
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Sequential ε-Subdifferential Calculus for Scalar and Vector Mappings
Set-Valued Analysis, 2017 International audienceIn this paper, several sequential formulae are obtained for the Brøndsted-Rockafellar ε-subdifferential of the sum and the composition of two convex and lower semicontinuous mappings defined in reflexive ...
Huerga, L. +3 more
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The Continuity of Subdifferential Mapping
Journal of Mathematical Analysis and Applications, 1997 In this paper we introduce and study the nearly uniformly norm upper semicontinuity for subdifferential mappings. Further we establish the interesting relations between uniform α upper semicontinuity and nearly uniformly norm upper semicontinuity ...
Wang, Jian-Hua, Nan, Chao-Xun
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A Subdifferential Condition for Calmness of Multifunctions
Journal of Mathematical Analysis and Applications, 2001 A condition ensuring calmness of a class of multifunctions between finite-dimensional spaces is derived in terms of subdifferential concepts developed by Mordukhovich.
Henrion, René +2 more
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Enlargements of the Moreau-Rockafellar Subdifferential
, 2021 The Moreau-Rockafellar subdifferential is a highly important notion in convex analysis and optimization theory. But there are many functions which fail to be subdifferentiable at certain points.
Kruger, Alexander, y +3 more
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Subdifferential Stability and Subdifferential Sum Rules [PDF]
Vietnam Journal of Mathematics, 2019 In the first part, we discuss the stability of the strong slope and of the subdifferential of a lower semicontinuous function with respect to Wijsman perturbations of the function, i.e. perturbations described via Wijsman convergence. In the second part, we show how subdifferential sum rules can be viewed as special cases of subdifferential stability ...
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Corrigendum on: Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential (Yugoslav Journal of Operations Research, vol. 31, no 4, doi: https://doi.org/10.2298/YJOR201017013P) [PDF]
Yugoslav Journal of Operations Research, 2022 The author of the article "Optimality Conditions and Duality for Multiobjective Semi-Infinite Programming with Data Uncertainity via Mordukhovich Subdifferential", Thanh-Hung Pham has informed the Editor about necessary corrections of the paper.
Editoral
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A simple formula for the second-order subdifferential of maximum functions [PDF]
, 2013 We derive a simple formula for the second-order subdifferential of the maximum of coordinates which allows us to construct this set immediately from its argument and the direction to which it is applied.
Henrion, René, Emich, Konstantin
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Subdifferentiation of integral functionals [PDF]
Mathematical Programming, 2017 The main scope of this paper is to investigate the way a nonsmooth subdifferential of a nonconvex integral function can be derived or estimated by means of the subdifferential of the corresponding integrand. Employing regularity hypotheses (a short discussion about various regularity notions can be found in the introduction), the results turn out to be
Emmanuel Giner, Jean-Paul Penot
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