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SADDLE POINT AND GENERALIZED CONVEX DUALITY FOR MULTIOBJECTIVE PROGRAMMING

  • Yan, Zhao-Xiang;Li, Shi-Zheng
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.227-235
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    • 2004
  • In this paper we consider the dual problems for multiobjective programming with generalized convex functions. We obtain the weak duality and the strong duality. At last, we give an equivalent relationship between saddle point and efficient solution in multiobjective programming.

STABILITY ON SOLUTION OF POPULATION EVOLUTION EQUATIONS WITH APPLICATIONS

  • Choi, Q-Heung;Jin, Zheng-Guo
    • Communications of the Korean Mathematical Society
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    • v.15 no.4
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    • pp.605-616
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    • 2000
  • We prove the non-homogeneous boundary value problem for population evolution equations is well-posed in Sobolev space H(sup)3/2,3/2($\Omega$). It provides a strictly mathematical basis for further research of population control problems.

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