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.