Abstract
We give a suitable example to show a gap between multiobjective optimization and single-objective optimization, which solves a problem proposed in Refs. 1–2.
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References
Wang, S. Y., and Yang, F.M., A Gap between Multiobjective Optimization and Scalar Optimization, Journal of Optimization Theory and Applications, Vol. 68, pp. 389–391, 1991.
Wang, S. Y., A Note on Optimality Conditions in Multiobjective Programming, Systems Science and Mathematical Sciences, Vol. 1, pp. 184–190, 1988.
Bazaraa, M. S., and Shetty, C.M., Nonlinear Programming: Theory and Algorithms, John Wiley and Sons, New York, NY, 1979.
Kawasaki, H., Second-Order Necessary Conditions of the Kuhn-Tucker Type under New Constraint Qualifications, Journal of Optimization Theory and Applications, Vol. 57, pp. 253–264, 1988.
Guignard, M., Generalized Kuhn-Tucker Conditions for Mathematical Programming Problems in a Banach Space, SIAM Journal on Control, Vol. 7, pp. 232–241, 1969.
MARUSCIAC, I., On Fritz John Type Optimality Criterion in Multiobjective Optimization, L'Analyse Numérique et la Theorie de l' Approximation, Vol. 11, pp. 109–114, 1982.
Singh, C., Optimality Conditions in Multiobjective Differentiable Programming, Journal of Optimization Theory and Applications, Vol. 53, pp. 115–123, 1987.
Aghezzaf, B., and Hachimi, M., Second-Order Optimality Conditions in Multiobjectiûe Optimization Problems, Journal of Optimization Theory and Applications, Vol. 102, pp. 37–50, 1999.
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AGHEZZAF, B., HACHIMI, M. On a Gap between Multiobjective Optimization and Scalar Optimization. Journal of Optimization Theory and Applications 109, 431–435 (2001). https://doi.org/10.1023/A:1017574608034
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DOI: https://doi.org/10.1023/A:1017574608034