Results 61 to 70 of about 2,908 (221)
Barrier Functions in Subdifferential Theory
Journal of Convex Analysis, 2020 We present a new method for proving Correa-Jofré-Thibault's theorem that monotonicity of subdifferential implies convexity of the function. This new method is based on barrier functions. Barrier functions help overcome some of the main technical difficulties when working with lower semicontinuous functions.
Ivanov, Milen, Zlateva, Nadia
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IET Smart Grid, Volume 9, Issue 1, January/December 2026.The proposed LA‐DROPF framework integrates graph neural network surrogates with Wasserstein distributionally robust optimisation and CVaR tail‐risk control for coordinated transmission—distribution dispatch under deep renewable uncertainty. A hybrid Benders—ADMM decomposition enables privacy‐preserving multi‐area coordination with formal convergence ...
Aamir Nawaz +2 more
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Subdifferentials with degrees of freedom and applications to optimization problems
Tạp chí Khoa học Đại học Đồng ThápIn this work, we first present a new class of generalized differentials, namely subdifferentials with degrees of freedom as well as their applications in nonsmooth optimization problems. We then establish some computation rules for subdifferentials with
Vo Duc Thinh, Huynh Ngoc Cam
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Inequalities and counterexamples for functional intrinsic volumes and beyond
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that analytic analogs of Brunn–Minkowski‐type inequalities fail for functional intrinsic volumes on convex functions. This is demonstrated both through counterexamples and by connecting the problem to results of Colesanti, Hug, and Saorín Gómez.
Fabian Mussnig, Jacopo Ulivelli
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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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Subdifferentiability of Real Functions
Real Analysis Exchange, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Electrica, 2003 Sufficient condition for optimality is derived for the problem under consideration on the basis of the apparatus of locally conjugate mappings,and duality theorems are proved.A sufficient condition for an extremum is an extremal relation for the direct ...
E. N. MAHMUDOV
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Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This paper investigates the application of β‐open sets to the convergence analysis of nonautonomous evolution equations governed by maximal monotone operators in Hilbert spaces. β‐open sets are a class of generalized open sets introduced by Njåstad (1965), which coincides with the class of semiopen sets by Levine (1963).
Boushra Abbas, Simeon Reich
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Inexact Inertial Proximal Algorithm for Maximal Monotone Operators
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper, convergence of the sequence generated by the inexact form of the inertial proximal algorithm is studied. This algorithm which is obtained by the discretization of a nonlinear oscillator with damping dynamical system, has been introduced by
Khatibzadeh Hadi, Ranjbar Sajad
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Provably Convergent Low‐Rank Grayscale Image Fusion via Adaptive Weighted Nuclear Norm Minimization
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.We propose a fully unsupervised, convex, and globally convergent framework for multimodal grayscale image fusion based on adaptive weighted nuclear norm minimization (WNNM). By formulating the fusion task as a low‐rank matrix recovery problem with data‐driven singular value reweighting, the method automatically preserves salient structural features ...
Gargi Trivedi, Muhammad Ahsan
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