20 citations · 21 across the 9 of their papers we have counts for
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math.OC2017
Sensitivity analysis of variational inequalities via twice epi-differentiability and proto-differentiability of the proximity operator
Samir Adly, Loïc Bourdin
In this paper we investigate the sensitivity analysis of parameterized nonlinear variational inequalities of second kind in a Hilbert space. The challenge of the present work is to…
math.OC2017
On a decomposition formula for the proximal operator of the sum of two convex functions
Samir Adly, Loïc Bourdin, Fabien Caubet
The main result of the present theoretical paper is an original decomposition formula for the proximal operator of the sum of two proper, lower semicontinuous and convex functions…
math.OC2017★ 1 cited
Equivalence between Differential Inclusions Involving Prox-regular sets and maximal monotone operators
Samir Adly, Abderrahim Hantoute, Bat Trang Nguyen
In this paper, we study the existence and the stability in the sense of Lyapunov of solutions for\ differential inclusions governed by the normal cone to a prox-regular set and sub…