Topological Properties of the Approximate Subdifferential
, 1994 The approximate subdifferential introduced by Mordukhovich has attracted much attention in recent works on nonsmooth optimization. Potential advantages over other concepts of subdifferentiability might be related to its non-convexity.
René Henrion
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A subdifferential characterization of Motzkin decomposable functions
, 2021 The paper provides a new subdifferential characterization for Motzkin decomposable (convex) functions. This characterization leads to diverse stability properties for such a decomposability for operations like addition and ...
Martínez Legaz, Juan Enrique +1 more
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An innovative inertial extra-proximal gradient algorithm for solving convex optimization problems with application to image and signal processing. [PDF]
Heliyon, 2023 Olilima J +5 more
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Asymptotically periodic solutions for differential and difference inclusions in Hilbert spaces
Electronic Journal of Differential Equations, 2013 Let $H$ be a real Hilbert space and let $A:D(A)subset Ho H$ be a (possibly set-valued) maximal monotone operator. We investigate the existence of asymptotically periodic solutions to the differential equation (inclusion) $u'(t) + Au(t)i f(t) + g(t)$, $t ...
Gheorghe Morosanu, Figen Ozpinar
doaj
Preface to "Optimization, Convex and Variational Analysis". [PDF]
Set Valued Var Anal, 2021 Aussel D +3 more
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A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool. [PDF]
Heliyon, 2023 Maréchal M.
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A new representation of a proximal subdifferential by employing a directional derivative
, 2011 Natural Science Foundation of Fujian Province of China [2010J05013]In this paper, a new representation of the proximal subdifferential of a nonsmooth function is presented by using a directional derivative.
Li, An, 李安
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Existence and non-uniqueness of stationary states for the Vlasov-Poisson equation on R3 subject to attractive background charges. [PDF]
SN Partial Differ Equ Appl, 2023 Winter R.
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Viable solutions for second order nonconvex functional differential inclusions
Electronic Journal of Differential Equations, 2005 We prove the existence of viable solutions for an autonomous second-order functional differential inclusions in the case when the multifunction that define the inclusion is upper semicontinuous compact valued and contained in the subdifferential of a ...
Vasile Lupulescu
doaj
An extension of the proximal point algorithm beyond convexity. [PDF]
J Glob Optim, 2022 Grad SM, Lara F.
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