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Duality and alternative in multi-objective optimization

Author: Elemer E. Rosinger
Journal: Proc. Amer. Math. Soc. 64 (1977), 307-312
MSC: Primary 90A05
MathSciNet review: 0679534
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Abstract: Within a general framework containing multiobjective optimization, an equivalence between duality properties and alternative conditions is established for pairs of constrained optimization problems. Sufficient conditions for a Pareto type duality and a multiobjective strong duality are obtained.

References [Enhancements On Off] (What's this?)

  • [1] K.-H. Elster and R. Neshe, Konjugierte Operatoren und subdifferentiale, Math. Operationsforsch. Statist. 6 (1975), no. 4, 641-657. MR 52 #8872. MR 0388035 (52:8872)
  • [2] L. McLinden, Duality theorems and theorems of the alternative, Proc. Amer. Math. Soc. 53 (1975), 172-175. MR 0395848 (52:16640)
  • [3] A. L. Peressini, Ordered topological vector spaces, Harper and Row, New York, 1967. MR 37 #3315. MR 0227731 (37:3315)
  • [4] J. Zowe, A duality theorem for a convex programming problem in order complete vector lattices, J. Math. Anal. Appl. 50 (1975), 273-287. MR 0416591 (54:4661)

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Keywords: Dual multiobjective problems, alternative conditions, Pareto duality
Article copyright: © Copyright 1977 American Mathematical Society

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