Results 71 to 80 of about 2,908 (221)
Upper Semi-Continuity of Subdifferential Mappings
, 1980 Characterizations of the upper semi-continuity of the subdifferential mapping of a continuous convex function are given.
David A. Gregory
core +1 more source
Topological Properties of the Approximate Subdifferential [PDF]
, 2005 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.
Henrion, René
core +1 more source
On one consequence of the Chebyshev alternance [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThe classical problem of the best approximation of a continuous function by a polynomial over a Chebyshev system of functions is considered. It is known that the solution of the problem is characterized by alternance.
Dudov, Sergei Ivanovitch +1 more
doaj +1 more source
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper investigates the existence of mild solutions and optimal controls for a class of second‐order delayed neutral nonautonomous evolution systems involving hemivariational inequalities, history‐dependent operators, and Clarke′s generalized subdifferential in Hilbert spaces. The novelty of the proposed framework lies in the simultaneous treatment
Hasanen A. Hammad +3 more
wiley +1 more source
Weaker conditions for subdifferential calculus of convex functions [PDF]
, 2016 In this paper we establish new rules for the calculus of the subdifferential mapping of the sum of two convex functions. Our results are established under conditions which are at an intermediate level of generality among those leading to the Hiriart ...
López, Marco +5 more
core +1 more source
Variational properties of the abstract subdifferential operator [PDF]
convexity generalises classical convexity by considering the suprema of functions taken from an arbitrarily defined set of functions. These are called the abstract linear (abstract affine) functions.
Ugon, Julien +2 more
core +1 more source
On the use of semi-closed sets and functions in convex analysis
Open Mathematics, 2015 The main aim of this short note is to show that the subdifferentiability and duality results established by Laghdir (2005), Laghdir and Benabbou (2007), and Alimohammady et al. (2011), stated in Fréchet spaces, are consequences of the corresponding known
Zălinescu Constantin
doaj +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the stochastic horizontal linear complementarity problem (S‐HLCP). By employing a complementarity function, we reformulate the S‐HLCP as an expected residual minimization (ERM) problem. We first establish sufficient conditions based on the R0‐matrix property to ensure the coercivity of the ERM problem.
Jianhua Peng +2 more
wiley +1 more source
Multivalued Usco Functions and Stegall Spaces
Revista de Ciencias, 2018 In this article we consider the study of the -differentiability and -ifferentiability for convex functions, not only in the general context of topological vector spaces (), but also in the context of Banach spaces.
Diana Ximena Narváez
doaj +1 more source
Subdifferential of the Cost Function
Journal of Mathematical Analysis and Applications, 1994 \textit{R. T. Rockafellar} [Nonlinear Anal., Theory, Methods Appl. 3, 145- 154 (1979; Zbl 0443.26010)] has proved the relation (a certain inclusion) between the subdifferential of the cost function and the Ioffe normal cone of the production set. The author studies the Lipschitz and differential properties of the cost function and gives assumptions to ...
openaire +1 more source