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The notion of V-r-invexity in diferentiable multiobjective programing

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EN
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EN
In this paper, a generalization of convexity, V-r-invexity, is considared in the case of nonlinear multiobective programming problems whwer the functions involved are differentiale. The assumptions on Pareto solutions are relaxed by means of V-r-invex functions. Also some duality results are obtained for such optimization problems.
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Rocznik
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63--79
Opis fizyczny
Bibliogr. 28 poz.
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autor
Bibliografia
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  • 10. Craven, B. D., Vector-valued optimization, in „Generalized Concavity in Optimization and Economics”, S. Schaible and W. Ziemba (eds.), Academic Press, New York, 1981, 661-687.
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  • 18. Luc, D. T., Malivert, C., Invex optimization problems, Bull. Austral. Math. Soc. 46 (1992), 47-66.
  • 19. Luc, D. T., Vector optimization, Lecture delivered at the summer school „Generalized Convexity and Monotonicity”, August 1999, Samos, Greece.
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  • 22. Mond, B., Weir, T., Generalized concavity and duality, in „Generalized Concavity in Optimization and Economics”, S. Schaible and W. T. Ziemba (eds.), Academic Press, New York, 1981, 263-279.
  • 23. Osuna-Gomez, R., Beato-Moreno, A., Rufian-Lizana, A., Generalized convexity in multiobjective programming, J. Math. Anal. Appl. 233 (1999), 205-220.
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Bibliografia
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bwmeta1.element.baztech-article-LOD4-0001-0016
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