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Stable strong and total parametrized dualities for DC optimization problems in locally convex spaces
Author(s) -
Gang Li,
Xiaoqi Yang,
Yuying Zhou
Publication year - 2013
Publication title -
journal of industrial and management optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.325
H-Index - 32
eISSN - 1553-166X
pISSN - 1547-5816
DOI - 10.3934/jimo.2013.9.671
Subject(s) - epigraph , duality (order theory) , class (philosophy) , strong duality , lagrangian , mathematics , duality gap , optimization problem , mathematical optimization , convex optimization , convex function , perturbation function , convex analysis , regular polygon , pure mathematics , computer science , geometry , artificial intelligence
By using properties of dualizing parametrization functions, Lagrangian functions and the epigraph technique, some sufficient and necessary conditions of the stable strong duality and strong total duality for a class of DC optimization problems are established.Department of Applied Mathematic

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