Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

FENCHEL DUALITY THEOREM IN MULTIOBJECTIVE PROGRAMMING PROBLEMS WITH SET FUNCTIONS

  • Liu, Sanming (Department of Applied Mathematics, Dalian University of Technology,) ;
  • Feng, Enmin (Department of Applied Mathematics, Dalian University of Technology)
  • 발행 : 2003.09.01

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초록

In this paper, we characterize a vector-valued convex set function by its epigraph. The concepts of a vector-valued set function and a vector-valued concave set function we given respectively. The definitions of the conjugate functions for a vector-valued convex set function and a vector-valued concave set function are introduced. Then a Fenchel duality theorem in multiobjective programming problem with set functions is derived.

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참고문헌

  1. ACTA Mathematical Applicate Sinica v.18 First order optimality conditions for multiobjective programming with set functions Shugen Li;Sanming Liu;Yisheng Yang
  2. Rocky Mountain Journal of Mathematics v.17 Convex programming with set functions J.H.Chou;Wei-Shen Hsia;Tan-Yu Lee
  3. Journal of Mathematical Analysis and Application v.70 Optimal constrained selection of a measure subset Robert J.T.Morris
  4. Journal of Mathematical Analysis and Application v.118 Epigraphs of convex function J.H.Chou;Wei-Shen Hsia;Tan-Yu Lee
  5. J.Austral.Math.Soc. Ser. v.B24 Saddle point and duality in the optimization theory of convex set function H.C.Lai;S.S.Yang
  6. Journal of Optimality Theory and Application v.70 Lagrange multiplier theorem of multiobjective programming with set functions Hsia.W.S.;Lee.T.Y.
  7. Functional Analysis L.V.Kantorovich;G.P.Akilov
  8. Appl.Math.Optim. v.2 no.2 Application de la Methode des element finis a lapproximation d'un probl eme approches D.Begis;R.Glowinski
  9. Colcolo v.10 Quelques results sur l'identification de domains J.Cea;A.Gioan;M.Michel
  10. Lecture Notes in Control and Information Science v.2 On a class of optimization problems involving domain variations, in International Symposium on New Trends in Systems Analysis, Versailles, France, Dec.1876 P.K.C.Wang