AU - Thi Hong Diem, Huynh
TI - Variational Approximations of a Dual Pair of Mathematical Programming Problems
PT - JOURNAL ARTICLE
TA - lu-maco
JN - lu-maco
VO - 1
VI - 1
IP - 1
4099 - http://maco.lu.ac.ir/article-1-49-en.html
4100 - http://maco.lu.ac.ir/article-1-49-en.pdf
SO - lu-maco 1
ABĀ - 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).
CP - IRAN
IN - Department of Applied Mathematics, University of Technology, HoChi Minh City, Vietnam
LG - eng
PB - lu-maco
PG - 107
PT - Research Article
YR - 2020