Results 21 to 30 of about 15,245 (222)
Approximate Subdifferential of the Difference of Two Vector Convex Mappings
Mathematics, 2023 This paper deals with the strong approximate subdifferential formula for the difference of two vector convex mappings in terms of the star difference. This formula is obtained via a scalarization process by using the approximate subdifferential of the ...
Abdelghali Ammar +3 more
doaj +1 more source
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 ...
openaire +3 more sources
Subdifferential test for optimality [PDF]
Journal of Global Optimization, 2013 6 ...
Jules, Florence, Lassonde, Marc
openaire +2 more sources
The External Estimate of the Compact Set by Lebesgue Set of the Convex Function [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 The finite-dimensional problem of embedding a given compact D ⊂ R p into the lower Lebesgue set G(α) = {y ∈ R p : f(y) 6 α} of the convex function f(·) with the smallest value of α due to the offset of D is considered.
Abramova, Veronika V. +2 more
doaj +1 more source
An additive subfamily of enlargements of a maximally monotone operator [PDF]
, 2015 We introduce a subfamily of additive enlargements of a maximally monotone operator. Our definition is inspired by the early work of Simon Fitzpatrick. These enlargements constitute a subfamily of the family of enlargements introduced by Svaiter. When the
A Brøndsted +34 more
core +7 more sources
Weak Subdifferential in Nonsmooth Analysis and Optimization
Journal of Applied Mathematics, 2011 Some properties of the weak subdifferential are considered in this paper. By using the definition and properties of the weak subdifferential which are described in the papers (Azimov and Gasimov, 1999; Kasimbeyli and Mammadov, 2009; Kasimbeyli and ...
Şahlar F. Meherrem, Refet Polat
doaj +1 more source
Existence and controllability for stochastic evolution inclusions of Clarke's subdifferential type
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we investigate a class of stochastic evolution inclusions of Clarke's subdifferential type in Hilbert spaces. The existence of mild solutions and controllability results are given and proved by using stochastic analysis techniques ...
Yunxiang Li, Liang Lu
doaj +1 more source
On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions
Mathematics in Engineering, 2023 In this work, we consider the fractional Stefan-type problem in a Lipschitz bounded domain $ \Omega\subset\mathbb{R}^d $ with time-dependent Dirichlet boundary condition for the temperature $ \vartheta = \vartheta(x, t) $, $ \vartheta = g $ on $ \Omega^c\
Catharine W. K. Lo +1 more
doaj +1 more source
, 2020 This article is concerned with the optimal control of Sobolev-type Hilfer fractional non-instantaneous impulsive differential inclusion driven by Poisson jumps and Clarke subdifferential. Initially, the existence of a mild solution is established for the
N. Durga, P. Muthukumar
semanticscholar +1 more source
Subdifferential Calculus Using ϵ-Subdifferentials
Journal of Functional Analysis, 1993 AbstractIn applications of convex analysis it is important to be able to calculate the subdifferentials of various combinations of (proper and lower semicontinuous) convex functions, such as the sum of two such functions, or their inf-convolution ("epi-sum"), as well as the pre-composition of a convex function with an affine map or the "marginal ...
Hiriarturruty, J.B., Phelps, R.R.
openaire +1 more source