Mathematical Analysis and Convex Optimization
آنالیز ریاضی و بهینه سازی محدب
MACO
Basic Sciences
http://maco.lu.ac.ir
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2717-0624
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2020
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Variational Approximations of a Dual Pair of Mathematical Programming Problems
Applied Mathematics
Applied Mathematics
پژوهشي
Research Article
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).
Variational approximations, mathematical programming, epi/hypo-convergence, inside epi/hypo-convergence, ancillary tightness, Lagrange functions, strong duality, approximate saddle points, approximate minsup-points, approximate maxinf-points
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http://maco.lu.ac.ir/browse.php?a_code=A-10-62-1&slc_lang=en&sid=1
Huynh
Thi Hong Diem
hthdiem@hcmut.edu.vn
`1003194753284600504`

1003194753284600504
Yes
Hochiminh City University Of Technology