集合最適化における近似最適性とその応用 (非線形解析学と凸解析学の研究)

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タイトル別名
  • APPROXIMATE MINIMALITY IN SET OPTIMIZATION AND APPLICATION (Study on Nonlinear Analysis and Convex Analysis)
  • APPROXIMATE MINIMALITY IN SET OPTIMIZATION AND APPLICATION

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This paper contains a weak optimality notion for set optimization. We consider a new concept of approximate efficiency for set optimization in terms of conical intervals and conical distance by using Tanaka's approximate minimality for vector optimization. Also, we show in the last part minimal element theorems and a variational principle by using our optimality.

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