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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.

 
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