대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제18권4호
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  • Pages.587-602
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  • 2003
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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벡터 볼록 최적화 문제를 위한 벡터 변분부등식

  • 이규명 (부경대학교 자연과학대학 수리과학부)
  • 발행 : 2003.10.01
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⟨ 이전 논문 다음 논문 ⟩

초록

본 논문에서는 벡터값을 가지는 함수로 이루어진 벡터 변분 부등식들의 해집합사이의 관계, 미분 불가능한 볼록함수로 이루어진 벡터 볼록 최적화 문제의 해집합들과 볼록함수의 아래미분으로 표현된 벡터 변분부등식의 해집합들과의 관계, 제약집합이 볼록 함수로 구체적으로 주어질 때의 벡터 변분부등식의 해가 될 필요 충분조건, 섭동된 강 단조 벡터 변분부등식의 안정성 결과와 섭동된 벡터 강 볼록 최적화문제에의 적용에 대한 최근 연구 결과를 정리한다.

키워드

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