Results 1 to 10 of about 164 (155)
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 ...
Alexander D Ioffe
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Symplectic Bregman Divergences [PDF]
EntropyWe present a generalization of Bregman divergences in finite-dimensional symplectic vector spaces that we term symplectic Bregman divergences. Symplectic Bregman divergences are derived from a symplectic generalization of the Fenchel–Young inequality ...
Frank Nielsen
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Kuwait Journal of Science, 2021 In this work, interval-valued optimization problems are considered. Ordering cone is used in order to obtain a generalization of interval-valued optimization problems on real topological vector spaces.
Emrah KARAMAN
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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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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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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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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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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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