East Asian mathematical journal

  • 제33권3호
  • /
  • Pages.265-269
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  • 2017
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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ON SUFFICIENCY AND DUALITY FOR ROBUST OPTIMIZATION PROBLEMS INVOLVING (V, ρ)-INVEX FUNCTIONS

  • Kim, Moon Hee (Department of Refrigeration Engineering, Tongmyong University) ;
  • Kim, Gwi Soo (Department of Applied Mathematics, Pukyung National University)
  • 투고 : 2016.03.17
  • 심사 : 2016.12.26
  • 발행 : 2017.05.31
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초록

In this paper, we formulate a sufficient optimality theorem for the robust optimization problem (UP) under (V, ${\rho}$)-invexity assumption. Moreover, we formulate a Mond-Weir type dual problem for the robust optimization problem (UP) and show that the weak and strong duality hold between the primal problems and the dual problems.

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참고문헌

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