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Optimality Criteria for Nonsmooth Continuous-Time Problems of Multiobjective Optimization

Author

Listed:
  • S. Nobakhtian

    (University of Isfahan)

  • M. R. Pouryayevali

    (University of Isfahan)

Abstract

A nonsmooth multiobjective continuous-time problem is introduced. We establish the necessary and sufficient optimality conditions under generalized convexity assumptions on the functions involved.

Suggested Citation

  • S. Nobakhtian & M. R. Pouryayevali, 2008. "Optimality Criteria for Nonsmooth Continuous-Time Problems of Multiobjective Optimization," Journal of Optimization Theory and Applications, Springer, vol. 136(1), pages 69-76, January.
    • Handle: RePEc:spr:joptap:v:136:y:2008:i:1:d:10.1007_s10957-007-9302-1
    DOI: 10.1007/s10957-007-9302-1
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    Citations

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    Cited by:

    1. G. Ruiz-Garzón & R. Osuna-Gómez & A. Rufián-Lizana & B. Hernández-Jiménez, 2015. "Optimality in continuous-time multiobjective optimization and vector variational-like inequalities," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(1), pages 198-219, April.
    2. Hsien-Chung Wu, 2019. "Numerical Method for Solving the Robust Continuous-Time Linear Programming Problems," Mathematics, MDPI, vol. 7(5), pages 1-50, May.
    3. Hsien-Chung Wu, 2021. "Robust Solutions for Uncertain Continuous-Time Linear Programming Problems with Time-Dependent Matrices," Mathematics, MDPI, vol. 9(8), pages 1-52, April.
    4. Ching-Feng Wen & Hsien-Chung Wu, 2011. "Using the Dinkelbach-type algorithm to solve the continuous-time linear fractional programming problems," Journal of Global Optimization, Springer, vol. 49(2), pages 237-263, February.
    5. S. Nobakhtian & M. R. Pouryayevali, 2012. "Optimality Conditions and Duality for Nonsmooth Fractional Continuous-Time Problems," Journal of Optimization Theory and Applications, Springer, vol. 152(1), pages 245-255, January.

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