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A Critical View on Invexity

Author

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  • Constantin Zălinescu

    (University Alexandru Ioan Cuza
    Romanian Academy)

Abstract

The aim of this note is to show that a number of publications on invexity in prestigious journals contain unclear definitions, ambiguous statements and sometimes wrong proofs. By analyzing certain facts of some relevant works, we wish to call readers’ attention to the literature on invexity when they use it in their research.

Suggested Citation

  • Constantin Zălinescu, 2014. "A Critical View on Invexity," Journal of Optimization Theory and Applications, Springer, vol. 162(3), pages 695-704, September.
    • Handle: RePEc:spr:joptap:v:162:y:2014:i:3:d:10.1007_s10957-013-0506-2
    DOI: 10.1007/s10957-013-0506-2
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    References listed on IDEAS

    as
    1. Yang, X. M. & Yang, X. Q. & Teo, K. L., 2005. "Criteria for generalized invex monotonicities," European Journal of Operational Research, Elsevier, vol. 164(1), pages 115-119, July.
    2. X. M. Yang & X. Q. Yang & K. L. Teo, 2001. "Characterizations and Applications of Prequasi-Invex Functions," Journal of Optimization Theory and Applications, Springer, vol. 110(3), pages 645-668, September.
    3. X.M. Yang & X.Q. Yang & K.L. Teo, 2003. "Generalized Invexity and Generalized Invariant Monotonicity," Journal of Optimization Theory and Applications, Springer, vol. 117(3), pages 607-625, June.
    Full references (including those not matched with items on IDEAS)

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