10 citations · 10 across the 6 of their papers we have counts for
7 papers · 1 filter
Perturbation of error bounds
A. Y. Kruger, M. A. López, M. A. Théra
Our aim in the current article is to extend the developments in Kruger, Ngai & Théra, SIAM J. Optim. 20(6), 3280-3296 (2010) and, more precisely, to characterize, in the Banach spa…
An additive subfamily of enlargements of a maximally monotone operator
Regina Burachik, Juan Enrique Martínez-Legaz, Mahboubeh Rezaie +1
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…
On Extended Versions of Dancs- Hegedüs-Medvegyev's Fixed Point Theorem
Truong Bao, Michel Thera
In this article we establish some fixed point (known also as critical point, invariant point) theorems in quasi-metric spaces. Our results unify and further extend in some regards…
Calmness modulus of linear semi-infinite programs
M. J. Canovas, A. Y. Kruger, M. A. Lopez +2
Our main goal is to compute or estimate the calmness modulus of the argmin mapping of linear semi-infinite optimization problems under canonical perturbations, i.e., perturbations…
Local nonsmooth Lyapunov pairs for first-order evolution differential inclusions
Samir Adly, Abderrahim Hantoute, Michel Thera
The general theory of Lyapunov's stability of first-order differential inclusions in Hilbert spaces has been studied by the authors in a previous work. This new contribution focuse…
Metric Regularity of the Sum of Multifunctions and Applications
Huynh Van Ngai, Huu Tron Nguyen, Michel Thera
In this work, we use the theory of error bounds to study metric regularity of the sum of two multifunctions, as well as some important properties of variational systems. We use an…
Directional metric regularity of multifunctions
Huynh Van Ngai, Michel A. Théra
In this paper, we study relative metric regularity of set-valued mappings with emphasis on directional metric regularity. We establish characterizations of relative metric regulari…