IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v152y2012i1d10.1007_s10957-010-9693-2.html
   My bibliography  Save this article

Optimality Conditions and Duality for Nonsmooth Fractional Continuous-Time Problems

Author

Listed:
  • S. Nobakhtian

    (University of Isfahan)

  • M. R. Pouryayevali

    (University of Isfahan)

Abstract

In this paper, we consider a class of nonsmooth fractional continuous-time problems. Optimality conditions under certain structure of generalized invexity are derived for this class. Subsequently, two parameter-free dual models are formulated. Finally weak, strong, and strict converse duality theorems are proved in the framework of generalized invexity.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:152:y:2012:i:1:d:10.1007_s10957-010-9693-2
    DOI: 10.1007/s10957-010-9693-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-010-9693-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-010-9693-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Jin-Chirng Lee & Hang-Chin Lai, 2005. "Parameter-Free Dual Models for Fractional Programming with Generalized Invexity," Annals of Operations Research, Springer, vol. 133(1), pages 47-61, January.
    3. S. Nobakhtian & M. R. Pouryayevali, 2008. "Duality for Nonsmooth Continuous-Time Problems of Vector Optimization," Journal of Optimization Theory and Applications, Springer, vol. 136(1), pages 77-85, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hsien-Chung Wu, 2019. "Numerical Method for Solving the Robust Continuous-Time Linear Programming Problems," Mathematics, MDPI, vol. 7(5), pages 1-50, May.
    2. 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.
    3. 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.
    4. Thai Chuong & Do Kim, 2014. "Optimality conditions and duality in nonsmooth multiobjective optimization problems," Annals of Operations Research, Springer, vol. 217(1), pages 117-136, June.
    5. 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.
    6. H. C. Lai & T. Y. Huang, 2008. "Minimax Fractional Programming for n-Set Functions and Mixed-Type Duality under Generalized Invexity," Journal of Optimization Theory and Applications, Springer, vol. 139(2), pages 295-313, November.
    7. Qingjie Hu & Jiguang Wang & Yu Chen, 2020. "New dualities for mathematical programs with vanishing constraints," Annals of Operations Research, Springer, vol. 287(1), pages 233-255, April.
    8. Sonali & N. Kailey & V. Sharma, 2016. "On second order duality of minimax fractional programming with square root term involving generalized B-(p, r)-invex functions," Annals of Operations Research, Springer, vol. 244(2), pages 603-617, September.
    9. S. K. Mishra & Vinay Singh & Vivek Laha, 2016. "On duality for mathematical programs with vanishing constraints," Annals of Operations Research, Springer, vol. 243(1), pages 249-272, August.
    10. Thai Doan Chuong & Do Sang Kim, 2017. "Nondifferentiable minimax programming problems with applications," Annals of Operations Research, Springer, vol. 251(1), pages 73-87, April.
    11. Thai Doan Chuong & Do Sang Kim, 2016. "A class of nonsmooth fractional multiobjective optimization problems," Annals of Operations Research, Springer, vol. 244(2), pages 367-383, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:152:y:2012:i:1:d:10.1007_s10957-010-9693-2. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.