Results 11 to 20 of about 2,908 (221)
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. +7 more
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Enlargements of the Moreau-Rockafellar Subdifferential [PDF]
, 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 +6 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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Subdifferential set of an operator
, 2022 In this paper we study the subdifferential set of an operator. We give possible relation of the subdifferential set of an operator to that of its value, at a point where the operator attains its norm.Comment: 12 ...
Rao, Taduri Srinivasa Siva Rama Krishna +1 more
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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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Subdifferential calculus for a quasiconvex function with generator
, 2011 Recently, we discussed optimality conditions for quasiconvex programming by introducing ‘Q-subdifferential’, which is a notion of differential of quasiconvex functions.
Kuroiwa, Daishi, Suzuki, Satoshi
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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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