• DocumentCode
    530535
  • Title

    Modified homotopy path-following algorithm for Brouwer fix-point problems

  • Author

    Tan, Jiawei ; Zhao, Jiaqi ; Chen, Jia ; Liu, Qinghuai

  • Author_Institution
    Sch. of Basic Sci., Changchun Univ. of Technol., Changchun, China
  • Volume
    5
  • fYear
    2010
  • fDate
    24-26 Aug. 2010
  • Firstpage
    403
  • Lastpage
    406
  • Abstract
    Fixed point theorems have many applications in economic analysis, optimization, nonlinear programming and engineering sciences. In this paper, the well-known Brouwer fixed point theorem is discussed to a class of nonconvex sets. We modified the homotopy path-following algorithm and hence make the modified method be able to solve Brouwer fixed-point problems easily.
  • Keywords
    concave programming; topology; Brouwer fix-point problems; economic analysis; engineering sciences; modified homotopy path-following algorithm; nonconvex sets; nonlinear programming; optimization; DH-HEMTs; Erbium; component homotopy; fixed-point; homotopy; nonconvex subset; path-following; quasi normal cone condition;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer, Mechatronics, Control and Electronic Engineering (CMCE), 2010 International Conference on
  • Conference_Location
    Changchun
  • Print_ISBN
    978-1-4244-7957-3
  • Type

    conf

  • DOI
    10.1109/CMCE.2010.5609941
  • Filename
    5609941
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=530535