@ARTICLE{Thi Hong Diem,
author = {Thi Hong Diem, Huynh and },
title = {Variational Approximations of a Dual Pair of Mathematical Programming Problems},
volume = {1},
number = {1},
abstract ={We study variational approximations of a dual pair of mathematical programming problems in terms of epi/hypo-convergence and inside epi/hypo-convergence of approximating Lagrange functions of the pair. First, the Painlevé -Kuratowski convergence of approximate saddle points of approximating Lagrange functions is established under the inside epi/hypo-convergence of these approximating Lagrange functions. From this, we obtain a couple of solutions of the pair of problems and a strong duality. Under a stronger variational convergence called ancillary tight epi/hypo-convergence, we obtain the Painle vé-Kuratowski convergence of approximate minsup-points and approximate maxinf-points of approximating Lagrange functions (when approximate saddle points are not necessary to exist). },
URL = {http://maco.lu.ac.ir/article-1-49-en.html},
eprint = {http://maco.lu.ac.ir/article-1-49-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
doi = {10.29252/maco.1.1.11},
year = {2020}
}