Results 11 to 20 of about 508 (181)
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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Subdifferential test for optimality [PDF]
Journal of Global Optimization, 2013 6 ...
Florence Jules, Marc Lassonde
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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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Calculus Rules for V-Proximal Subdifferentials in Smooth Banach Spaces
Journal of Function Spaces, 2016 In 2010, Bounkhel et al. introduced new proximal concepts (analytic proximal subdifferential, geometric proximal subdifferential, and proximal normal cone) in reflexive smooth Banach spaces.
Messaoud Bounkhel
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Local subdifferentials and multivariational inequalities in Banach and Frechet spaces [PDF]
Opuscula Mathematica, 2008 Some functional-topological concepts of subdifferential and locally subdifferential maps in Frechet spaces are established. Multivariational inequalities with an operator of the pseudo-monotone type, connected with subdifferential maps, are considered.
Pavlo O. Kasyanov +2 more
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Subdifferential Calculus Using ϵ-Subdifferentials
Journal of Functional Analysis, 1993 AbstractIn applications of convex analysis it is important to be able to calculate the subdifferentials of various combinations of (proper and lower semicontinuous) convex functions, such as the sum of two such functions, or their inf-convolution ("epi-sum"), as well as the pre-composition of a convex function with an affine map or the "marginal ...
Hiriarturruty, J.B., Phelps, R.R.
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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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ON TWO-SIDED UNIDIRECTIONAL MEAN VALUE INEQUALITY IN A FRÉCHET SMOOTH SPACE
Ural Mathematical Journal, 2023 The paper is devoted to a new unidirectional mean value inequality for the Fréchet subdifferential of a continuous function. This mean value inequality finds an intermediate point and localizes its value both from above and from below; for this reason ...
Dmitry V. Khlopin
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The Continuity of Subdifferential Mapping
Journal of Mathematical Analysis and Applications, 1997 The authors discuss continuity of the subdifferential mapping of the gauge of a bounded convex set with the origin an interior point and find a single-valuedness criterion for the mapping.
Wang, Jian-Hua, Nan, Chao-Xun
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On the Subdifferentiability of Convex Functions [PDF]
Proceedings of the American Mathematical Society, 1965 (Thus the subgradients of f correspond to the nonvertical supporting hyperplanes to the convex set consisting of all the points of E (DR lying above the graph of f.) The set of subgradients of f at x is denoted by of(x). If of(x) is not empty, f is said to be subdifferenticable at x.
Brøndsted, Arne, Rockafellar, R. T.
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