IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-25707-0_1.html
   My bibliography  Save this book chapter

A Cutting Hyperplane Method for Generalized Monotone Nonlipschitzian Multivalued Variational Inequalities

In: Modeling, Simulation and Optimization of Complex Processes

Author

Listed:
  • Pham Ngoc Anh

    (Posts and Telecommunications Institute of Technology, Department of Scientific Fundamentals)

  • Takahito Kuno

    (University of Tsukuba, Graduate School of Systems and Information Engineering)

Abstract

We present a new method for solving multivalued variational inequalities, where the underlying function is upper semicontinuous and satisfies a certain generalized monotone assumption. First, we construct an appropriate hyperplane which separates the current iterative point from the solution set. Then the next iterate is obtained as the projection of the current iterate onto the intersection of the feasible set with the halfspace containing the solution set. We also analyze the global convergence of the algorithm under minimal assumptions.

Suggested Citation

  • Pham Ngoc Anh & Takahito Kuno, 2012. "A Cutting Hyperplane Method for Generalized Monotone Nonlipschitzian Multivalued Variational Inequalities," Springer Books, in: Hans Georg Bock & Xuan Phu Hoang & Rolf Rannacher & Johannes P. Schlöder (ed.), Modeling, Simulation and Optimization of Complex Processes, edition 127, pages 1-11, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-25707-0_1
    DOI: 10.1007/978-3-642-25707-0_1
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:sprchp:978-3-642-25707-0_1. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.