• DocumentCode
    524649
  • Title

    Homotopy Method for a Class of Fixed-Point Problems

  • Author

    Tan, Jiawei ; Chen, Jia ; Liu, Qinghuai

  • Author_Institution
    Sch. of Basic Sci., Changchun Univ. of Technol., Changchun, China
  • Volume
    1
  • fYear
    2010
  • fDate
    28-31 May 2010
  • Firstpage
    339
  • Lastpage
    342
  • Abstract
    Fixed point theorems have been applied to economic analysis. In this paper, the well-known Brouwer fixed point theorem is discussed to a class of nonconvex sets and a globally convergent homotopy method is developed for computing the fixed-point on this class of nonconvex sets. In addition, a simple example is given to show the effectiveness of the modified method.
  • Keywords
    Convergence; Nonlinear equations; Nonlinear systems; Optimization methods; Physics; Polynomials; Power engineering and energy; Power generation economics; Transportation; Fixed point; Global convergence; Hair-mapping; Homotopy method; Nonconvex set;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Science and Optimization (CSO), 2010 Third International Joint Conference on
  • Conference_Location
    Huangshan, Anhui, China
  • Print_ISBN
    978-1-4244-6812-6
  • Electronic_ISBN
    978-1-4244-6813-3
  • Type

    conf

  • DOI
    10.1109/CSO.2010.236
  • Filename
    5533033
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=524649