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演講者:溫慶豐教授 (高雄醫學大學基礎科學教育中心)
講題:On Second-Order Optimality Conditions for Non-Smooth Multi-Objective Optimization Problems 時間:05/21(二) 13:20 地點:南大校區推廣教育大樓9407教室 摘要:In this study,we are interested in second-order optimality conditions for the objective optimization problems,by using the second-order constraint qualifications and regularity conditions are proposed in a non-smooth setting.They are applied to develop some second-order Karush–Kuhn–Tucker necessary optimality conditions for the considered problems.Moreover, for non-C2-smooth multi-objective optimization problems, second-order sufficient conditions of Fritz-John type for strict local efficient solutions are investigated in terms of the Demyanov-Pevnyi's second-order directional derivatives. Some second-order sufficient conditions of Karush–Kuhn–Tucker type and Fritz-John one for global efficiency under suitable generalized convex assumptions are also established.Our results improve and generalize conditions obtained by various authors in recent papers. ![]() 瀏覽數
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