Results 21 to 30 of about 260 (56)

Dynamical systems and forward-backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator

, 2014
In a Hilbert framework, we introduce continuous and discrete dynamical systems which aim at solving inclusions governed by structured monotone operators $A=\partial\Phi+B$, where $\partial\Phi$ is the subdifferential of a convex lower semicontinuous ...
Abbas, Boushra, Attouch, Hedy
core   +1 more source

Convergence rate analysis of primal-dual splitting schemes

, 2015
Primal-dual splitting schemes are a class of powerful algorithms that solve complicated monotone inclusions and convex optimization problems that are built from many simpler pieces.
Davis, Damek
core   +1 more source

Existence and uniqueness results of solutions for a new class of parabolic varitional inequalities related with impulse control problem

Nonlinear Engineering
In this work, we establish novel existence and uniqueness results for parabolic quasi-variational inequalities (PQVIs) by developing a structured four-phase numerical framework.
Boulaaras Salah, Guefaifia Rafik, Haiour Mohamed   +2 more
doaj   +1 more source

Generalized Newton's Method based on Graphical Derivatives [PDF]

, 2010
This paper concerns developing a numerical method of the Newton type to solve systems of nonlinear equations described by nonsmooth continuous functions. We propose and justify a new generalized Newton algorithm based on graphical derivatives, which have
Hoheisel, T., Kanzow, C., Mordukhovich, B. S., Phan, H.   +3 more
core   +2 more sources

Regularization method and a posteriori error estimates for the two membranes problem

Open Mathematics
This study presents a regularization method for the two membranes problem with non-homogeneous boundary conditions. We establish both convergence results and a priori estimates for this method.
Bouchlaghem Mohammed, Mermri El Bekkaye, Mellah Zhor   +2 more
doaj   +1 more source

Adversarial flows: A gradient flow characterization of adversarial attacks

European Journal of Applied Mathematics
A popular method to perform adversarial attacks on neural networks is the so-called fast gradient sign method and its iterative variant. In this paper, we interpret this method as an explicit Euler discretization of a differential inclusion, where we ...
Lukas Weigand, Tim Roith, Martin Burger
doaj   +1 more source

A Simplified Convex Optimization Model for Image Restoration with Multiplicative Noise. [PDF]

J Imaging, 2023
Che H, Tang Y.
europepmc   +1 more source

A Sequential Homotopy Method for Mathematical Programming Problems

, 2019
We propose a sequential homotopy method for the solution of mathematical programming problems formulated in abstract Hilbert spaces under the Guignard constraint qualification.
Bock, Hans Georg, Potschka, Andreas
core  

A Duality Approach to Error Estimation for Variational Inequalities

, 2014
Motivated by problems in contact mechanics, we propose a duality approach for computing approximations and associated a posteriori error bounds to solutions of variational inequalities of the first kind.
Bader, Eduard, Veroy, Karen, Zhang, Zhenying   +2 more
core  

A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms. [PDF]

J Inequal Appl, 2018
Mehri A, Saadi S.
europepmc   +1 more source