21 citations · 34 across the 7 of their papers we have counts for
7 papers · 1 filter
Optimality conditions in DC constrained mathematical programming problems
Rafael Correa, Marco A. López, Pedro Pérez-Aros
This paper provides necessary and sufficient optimality conditions for abstract constrained mathematical programming problems in locally convex spaces under new qualification condi…
Relaxed Lagrangian duality in convex infinite optimization: reverse strong duality and optimality
Nguyen Dinh, Miguel A. Goberna, Marco A. Lopez +1
We associate with each convex optimization problem posed on some locally convex space with an infinite index set T, and a given non-empty family H formed by finite subsets of T, a…
Hölder Error Bounds and Hölder Calmness with Applications to Convex Semi-Infinite Optimization
Alexander Kruger, Marco López, Xiaoqi Yang +1
Using techniques of variational analysis, necessary and sufficient subdifferential conditions for Hölder error bounds are investigated and some new estimates for the corresponding…
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…
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…
Quantitative Stability of Linear Infinite Inequality Systems under Block Perturbations with Applications to Convex Systems
M. J. Cánovas, M. A. LóPez, B. S. Mordukhovich +1
The original motivation for this paper was to provide an efficient quantitative analysis of convex infinite (or semi-infinite) inequality systems whose decision variables run over…