IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/536283.html
   My bibliography  Save this article

An Iterative Shrinking Projection Method for Solving Fixed Point Problems of Closed and 𠜙 -Quasi-Strict Pseudocontractions along with Generalized Mixed Equilibrium Problems in Banach Spaces

Author

Listed:
  • Kasamsuk Ungchittrakool

Abstract

We provide some new type of mappings associated with pseudocontractions by introducing some actual examples in smooth and strictly convex Banach spaces. Moreover, we also find the significant inequality related to the mappings mentioned in the paper and the mappings defined from generalized mixed equilibrium problems on Banach spaces. We propose an iterative shrinking projection method for finding a common solution of generalized mixed equilibrium problems and fixed point problems of closed and 𠜙 -quasi-strict pseudo-contractions. Our results hold in reflexive, strictly convex, and smooth Banach spaces with the property ( ð ¾ ). The results of this paper improve and extend the corresponding results of Zhou and Gao (2010) and many others.

Suggested Citation

  • Kasamsuk Ungchittrakool, 2012. "An Iterative Shrinking Projection Method for Solving Fixed Point Problems of Closed and 𠜙 -Quasi-Strict Pseudocontractions along with Generalized Mixed Equilibrium Problems in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-20, September.
    • Handle: RePEc:hin:jnlaaa:536283
    DOI: 10.1155/2012/536283
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2012/536283.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2012/536283.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/536283?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
    ---><---

    More about this item

    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:hin:jnlaaa:536283. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.