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Original Articles

Basic properties of scalarizmg functionals for multiobjective optimization

Pages 55-60 | Published online: 27 Jun 2007

References

  • Da Cunha , N.O. 1967 . Constrained Minimisation under Vector-Valued Criteria in Einite Dimensional Space . of Math, Analyst, Appl , 19 : 103 – 124 .
  • Giljewski , A. 1975 . “ Some Scalarizing Methods for Polyoptimization ” . In Master thesis, Institute of Automatic Control , T. U. of Warsaw .
  • Rolewicz , S. 1975 . On Norm Scalarization in Infinite Dimensional Banach Spaces , Institute of Mathematics of Polish Academy of Sciences . Working Paper
  • Savlukadze , M.E. 1974 . On the Existence of Solutions in Problems of Optimization under Vector-Valued Criteria . J. Optimization Theory AppL , 13 ( 2 )
  • Wierzbicki , A.P. 1977 . Projection on a Cone, Generalized Penalty FuiietioiiaLs and Duality Theory . SIAM J. Control , 13 ( 2 ) To appear
  • Wierzbicki , A.P. 1975 . Penalty Methods in Solving Optimization Problems with Vector Performance Criteria, I . VI- th IFAC World congress . 1975 , Cabmridge. (Technical Report of the Institute of Automatic Control, T. IT. of Warsaw, 1974), Boston
  • Yu , P.L. and Leitmann , G. 1974 . Compromise monitions, Domination Structures and Savlukadze's Solution . J. Optimization Theory Appl , 13 : 362 – 378 .

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