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ɛ-Duality theorem of nondifferentiable nonconvex multiobjective programming

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Abstract

This technical reply deals with the relations between Ref. 1 and Refs. 2–4.

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References

  1. Liu, J. C.,ɛ-Duality Theorem of Nondifferentiable Nonconvex Multiobjective Programming, Journal of Optimization Theory and Applications, Vol. 69, pp. 153–167, 1991.

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  2. Loridan, P.,Necessary Conditions for ɛ-Optimality, Mathematical Programming Study, Vol. 19, pp. 140–152, 1982.

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  3. Loridan, P.,ɛ-Solutions in Vector Minimization Problems, Journal of Optimization Theory and Applications, Vol. 43, pp. 265–267, 1984.

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  4. Loridan, P., andMorgan, J.,Penalty Functions in ɛ-Programming and ɛ-Minimax Problems, Mathematical Programming, Vol. 26, pp. 213–231, 1983.

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Communicated by M. Avriel

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Liu, J.C. ɛ-Duality theorem of nondifferentiable nonconvex multiobjective programming. J Optim Theory Appl 74, 567–568 (1992). https://doi.org/10.1007/BF00940328

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