Results 161 to 170 of about 15,245 (222)

Results on existence and controllability results for fractional evolution inclusions of order 1 < r < 2 with Clarke's subdifferential type

Numerical Methods for Partial Differential Equations, 2020
In our paper, we primarily concentrate on the existence and controllability results for fractional evolution inclusions of order 1 
M. Mohan Raja, V. Vijayakumar, R. Udhayakumar, K. S. Nisar   +3 more
semanticscholar   +1 more source

Neutral fractional stochastic partial differential equations with Clarke subdifferential

Applicable Analysis, 2020
By using fractional calculus, stochastic analysis theory and fixed point theorems, sufficient conditions for approximate controllability of nonlocal Sobolev-type neutral fractional stochastic differential equations with fractional Brownian motion and ...
H. Ahmed, H. El-Owaidy, M. A. Al-Nahhas
semanticscholar   +1 more source

?-Subdifferentials in terms of subdifferentials

Set-Valued Analysis, 1996
In this note, we give a formula which expresses the e-subdifferential operator of a lower semicontinuous convex proper function on a given Banach space in terms of its subdifferential.
Juan-Enrique Martinez-Legaz, Michel Th�ra   +1 more
openaire   +1 more source

Subdifferential Calculus Rules for Possibly Nonconvex Integral Functions

SIAM Journal of Control and Optimization, 2020
We are concerned with the subdifferentials of integral functionals and functions given in the form $E_f(x)=\int_{T} f(t,x)d\mu$, for a possibly nonconvex normal integrand f defined on a separable B...
R. Correa, A. Hantoute, P. Pérez-Aros
semanticscholar   +1 more source

$$\varepsilon $$ ε -Subdifferential as an Enlargement of the Subdifferential

Bulletin of the Iranian Mathematical Society, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rezaie, Mahboubeh, Mirsaney, Zahra Sadat
openaire   +2 more sources

Subdifferential of the supremum function: moving back and forth between continuous and non-continuous settings

Mathematical programming, 2020
In this paper we establish general formulas for the subdifferential of the pointwise supremum of convex functions, which cover and unify both the compact continuous and the non-compact non-continuous settings.
R. Correa, A. Hantoute, Marco A. López
semanticscholar   +1 more source

$\alpha $-Lower Subdifferentiable Functions

SIAM Journal on Optimization, 1993
Let \(X\) be a locally convex real topological vector space, with dual \(X^*\), \(K\) a convex subset of \(X\) and \(\alpha\in (0,1]\). A function \(f: K\to \overline {\mathbb{R}}\) is said to be \(\alpha\)-lower subdifferentiable \((\alpha\)-l.s.d.) at \(x_ 0\in K\) if \(f(x_ 0)\in\mathbb{R}\) and there exists \(\omega\in X^*\) such that \(f(x)\geq f ...
Martínez-Legaz, J. E., Romano-Rodríguez, S.   +1 more
openaire   +2 more sources

Lower Subdifferentiability and Integration

Set-Valued Analysis, 2002
This well written article is devoted to the question of integration of a multivalued operator \(T:X\to 2^{X^*}\), i.e., the problem of finding a function \(f\) such that, for a suitable notion of subdifferential, \(T\subset \partial f\). In this paper, the case where \(T\) is a \((L(x_0))\) multifunction with respect to some \(x_0\in \operatorname {Dom}
Bachir, Mohammed, Daniilidis, Aris, Penot, Jean-Paul   +2 more
openaire   +1 more source

Enlarged Inclusion of Subdifferentials

Canadian Mathematical Bulletin, 2005
AbstractThis paper studies the integration of inclusion of subdifferentials. Under various verifiable conditions, we obtain that if two proper lower semicontinuous functions f and g have the subdifferential of f included in the γ-enlargement of the subdifferential of g, then the difference of those functions is γ-Lipschitz over their effective domain.
Thibault, Lionel, Zagrodny, Dariusz
openaire   +2 more sources

Subdifferentiation of Regularized Functions

Set-Valued and Variational Analysis, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huynh, van Ngai, Penot, Jean-Paul
openaire   +2 more sources