Generalized Alternative Theorems based on Set-Relations (Nonlinear Analysis and Convex Analysis)

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  • Ogata, Yuto
    Graduate School of Science and Technology, Niigata University
  • Saito, Yutaka
    Graduate School of Science and Technology, Niigata University
  • Tanaka, Tamaki
    Graduate School of Science and Technology, Niigata University
  • Lee, Gue Myung
    Department of Applied Mathematics, Pukyong National University
  • Lee, Jae Hyoung
    Department of Applied Mathematics, Pukyong National University

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  • GENERALIZED ALTERNATIVE THEOREMS BASED ON SET-RELATIONS

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Abstract

This paper contains generalized alternative theorems via a set scalarization method based on set-relations. We introduce semidefinite system and its dual case as a supplementary result.

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2065 111-119, 2018-04

    京都大学数理解析研究所

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