Results 21 to 30 of about 15,586 (220)

Time Optimal Control of System Governed by a Fractional Stochastic Partial Differential Inclusion with Clarke Subdifferential

Taiwanese journal of mathematics, 2020
This paper investigates the time optimal control problems to a new class of fractional non-instantaneous impulsive stochastic partial differential inclusions with Clarke subdifferential in Hilbert spaces.
Zuomao Yan
semanticscholar   +1 more source

Subdifferential characterization of probability functions under Gaussian distribution [PDF]

Mathematical programming, 2017
Probability functions figure prominently in optimization problems of engineering. They may be nonsmooth even if all input data are smooth. This fact motivates the consideration of subdifferentials for such typically just continuous functions.
A. Hantoute, R. Henrion, P. Pérez-Aros
semanticscholar   +1 more source

Second-order subdifferential calculus with applications to tilt stability in optimization [PDF]

, 2011
The paper concerns the second-order generalized differentiation theory of variational analysis and new applications of this theory to some problems of constrained optimization in finitedimensional spaces. The main attention is paid to the so-called (full
Mordukhovich, B. S., Rockafellar, R. T.
core   +4 more sources

Calculus Rules for V-Proximal Subdifferentials in Smooth Banach Spaces

Journal of Function Spaces, 2016
In 2010, Bounkhel et al. introduced new proximal concepts (analytic proximal subdifferential, geometric proximal subdifferential, and proximal normal cone) in reflexive smooth Banach spaces.
Messaoud Bounkhel
doaj   +1 more source

Subdifferential Formulae for the Supremum of an Arbitrary Family of Functions [PDF]

SIAM Journal on Optimization, 2018
This work provides calculus to the subdifferential of the pointwise supremum given by an arbitrary family of lower semicontinuous functions. We start our study using basic properties of the subdifferential, which are satisfied by many subdifferential ...
P. Pérez-Aros
semanticscholar   +1 more source

Local subdifferentials and multivariational inequalities in Banach and Frechet spaces [PDF]

Opuscula Mathematica, 2008
Some functional-topological concepts of subdifferential and locally subdifferential maps in Frechet spaces are established. Multivariational inequalities with an operator of the pseudo-monotone type, connected with subdifferential maps, are considered.
Pavlo O. Kasyanov, Valery S. Mel'nik, Anna M. Piccirillo   +2 more
doaj  

Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential

Journal of Computational and Applied Mathematics, 2018
We study the solvability and optimal controls of an impulsive nonlinear Hilfer fractional delay evolution inclusion in Banach spaces. For the main results, we use fractional calculus, fixed point technique, semigroup theory and multivalued analysis.
Aicha Harrat, J. Nieto, A. Debbouche
semanticscholar   +1 more source

Optimality Conditions and Dualities for Robust Efficient Solutions of Uncertain Set-Valued Optimization with Set-Order Relations

Axioms, 2022
In this paper, we introduce a second-order strong subdifferential of set-valued maps, and discuss some properties, such as convexity, sum rule and so on.
Yuwen Zhai, Qilin Wang, Tian Tang
doaj   +1 more source

Efficient Automatic Subdifferentiation for Programs with Linear Branches

Mathematics, 2023
Computing an element of the Clarke subdifferential of a function represented by a program is an important problem in modern non-smooth optimization.
Sejun Park
doaj   +1 more source

Hilfer Fractional Neutral Stochastic Differential Inclusions with Clarke’s Subdifferential Type and fBm: Approximate Boundary Controllability

Contemporary Mathematics
In this paper, the approximate boundary controllability of Hilfer fractional neutral stochastic differential inclusions with fractional Brownian motion (fBm) and Clarke’s subdifferential in Hilbert space is discussed.
K. Nandhaprasadh, R. Udhayakumar
semanticscholar   +1 more source