Variational Approximations of A Dual Pair Of Mathematical Programming Problems
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نویسنده
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Diem Huynh Thi Hong
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منبع
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Mathematical Analysis And Convex Optimization - 2020 - دوره : 1 - شماره : 1 - صفحه:107 -118
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چکیده
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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 or under types of inside convergence directly of the data of problems. 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 painlevé-kuratowski convergence of approximate minsup-points and approximate maxinf-points of approximating lagrange functions (when approximate saddle points are not necessary to exist).
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کلیدواژه
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Variational Approximations; Inside Epi/Hypo-Convergence; Ancillary Tightness;Approximate Saddle Points
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آدرس
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University Of Technology, Department Of Applied Mathematics, Vietnam
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پست الکترونیکی
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hthdiem@hcmut.edu.vn
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