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Multiobjective Variational Programming under Generalized Type I Univexity

Author

Listed:
  • K. Khazafi

    (Kent State University)

  • N. Rueda

    (Merrimack College)

Abstract

In this paper, we extend the Mishra, Rueda and Giorgi generalized V-univexity type I, defined for multiobjective programming, to multiobjective variational programming problems and we derive various sufficient optimality conditions and mixed type duality results under generalized V-univexity type I conditions.

Suggested Citation

  • K. Khazafi & N. Rueda, 2009. "Multiobjective Variational Programming under Generalized Type I Univexity," Journal of Optimization Theory and Applications, Springer, vol. 142(2), pages 363-376, August.
    • Handle: RePEc:spr:joptap:v:142:y:2009:i:2:d:10.1007_s10957-009-9526-3
    DOI: 10.1007/s10957-009-9526-3
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    References listed on IDEAS

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    1. Shashi Kant Mishra & Shouyang Wang & Kin Keung Lai, 2008. "V-Invex Functions and Vector Optimization," Springer Optimization and Its Applications, Springer, number 978-0-387-75446-8, June.
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    Cited by:

    1. Tadeusz Antczak, 2015. "Sufficient optimality criteria and duality for multiobjective variational control problems with $$G$$ G -type I objective and constraint functions," Journal of Global Optimization, Springer, vol. 61(4), pages 695-720, April.

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