논문KCI 등재
On Second Order Necessary Optimality Conditions for Vector Optimization Problems
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Abstract
Second order necessary optimality condition forproperly efficient solutions of a twice differentiable vectoroptimization problem is given. We obtain a nonsmooth version ofthe second order necessary optimality condition for properlyefficient solutions of a nondifferentiable vector optimizationproblem. Furthermore, we prove a second order necessary optimalitycondition for weakly efficient solutions of a nondifferentiablevector optimization problem.
관련 논문AI추천
On optimality conditions for abstract convex vector optimization problems이광백, 이규명대한수학회 · 대한수학회지2007 · 제44권 제4호Multiobjective Variational Programming under Generalized Vector Variational Type I InvexityMoon Hee Kim대한수학회 · 대한수학회논문집2004 · 제19권 제1호Invexity as necessary optimality condition in nonsmooth programs김도상, 이규명, Pham Huu Sach대한수학회 · 대한수학회지2006 · 제43권 제2호Sequential optimality theorems for second-order cone linear fractional vector optimization problems김문희영남수학회 · East Asian Mathematical Journal2023 · 제39권 제5호On Weakly Efficient Solutions for Second-Order Cone Linear Fractional Vector Optimization Problems김문희영남수학회 · East Asian Mathematical Journal2025 · 제41권 제5호Vector Variational Inequality Problems with Generalized $C(x)$-$L$-pseudomonotone Set-valued Mappings강미광, Byung-Soo Lee한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제2호
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