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A reduced formulation for pseudoinvex vector functions

Author

Listed:
  • Manuel Arana-Jiménez

    (University of Cádiz)

  • Riccardo Cambini

    (University of Pisa)

  • Laura Carosi

    (University of Pisa)

Abstract

Vector pseudoinvexity is characterized in the current literature by means of a suitable functional which depends on two variables. In this paper, vector pseudoinvexity is characterized by means of a functional which depends on one variable only. For this very reason, the new characterizing conditions are easier to be verified.

Suggested Citation

  • Manuel Arana-Jiménez & Riccardo Cambini & Laura Carosi, 2018. "A reduced formulation for pseudoinvex vector functions," Annals of Operations Research, Springer, vol. 269(1), pages 21-27, October.
    • Handle: RePEc:spr:annopr:v:269:y:2018:i:1:d:10.1007_s10479-016-2372-4
    DOI: 10.1007/s10479-016-2372-4
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    References listed on IDEAS

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    1. R. Osuna-Gómez & A. Rufián-Lizana & P. Ruíz-Canales, 1998. "Invex Functions and Generalized Convexity in Multiobjective Programming," Journal of Optimization Theory and Applications, Springer, vol. 98(3), pages 651-661, September.
    2. Gutiérrez, C. & Jiménez, B. & Novo, V. & Ruiz-Garzón, G., 2015. "Efficiency through variational-like inequalities with Lipschitz functions," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 438-449.
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    Cited by:

    1. Savin Treanţă, 2022. "On a global efficiency criterion in multiobjective variational control problems with path-independent curvilinear integral cost functionals," Annals of Operations Research, Springer, vol. 311(2), pages 1249-1257, April.

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