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Subdifferential test for optimality [PDF]
Journal of Global Optimization, 2013 6 ...
Florence Jules, Marc Lassonde
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Mathematics, 2022 We take up a nonsmooth multiobjective optimization problem with tangentially convex objective and constraint functions. In employing a suitable constraint qualification, we formulate both necessary and sufficient optimality conditions for (local) quasi ...
Mohsine Jennane +3 more
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Integration of Fenchel subdifferentials revisited [PDF]
, 2014 We obtain a simple integration formula for the Fenchel subdifferentials on Euclidean spaces and analyze some of its consequences.
Martínez Legaz, Juan Enrique
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Fréchet Analysis and Sensitivity Relations for the Optimal Time Problem
IEEE Access, 2020 In this paper, we first present formulas for computing the Fréchet subdifferentials and Fréchet singular subdifferentials of the minimal time function $\mathscr {T}$ for a differential inclusion in $\mathbb {R}^{n}$ with a general ...
Luong V. Nguyen, Nguyen T. Thu
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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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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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Abstract and Applied Analysis, 2014 We first obtain that subdifferentials of set-valued mapping from finite-dimensional spaces to finite-dimensional possess certain relaxed compactness.
Yanfei Chai, Sanyang Liu, Guotao Wang
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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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Mathematics, 2022 This article deals with the classes of approximate Minty- and Stampacchia-type vector variational inequalities on Hadamard manifolds and a class of nonsmooth interval-valued vector optimization problems.
Savin Treanţă +2 more
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Abstract and Applied Analysis, 2002 In a real separable Hilbert space, we consider nonautonomous evolution equations including time-dependent subdifferentials and their nonmonotone multivalued perturbations.
Noriaki Yamazaki
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