Title page for etd-0620108-161949


[Back to Results | New Search]

URN etd-0620108-161949
Author Yun-ru Huang
Author's Email Address m952040029@student.nsysu.edu.tw
Statistics This thesis had been viewed 5061 times. Download 1079 times.
Department Applied Mathematics
Year 2007
Semester 2
Degree Master
Type of Document
Language English
Title Viscosity Approximation Methods for Generalized
Equilibrium Problems and Fixed Point Problems
Date of Defense 2008-05-30
Page Count 40
Keyword
  • Generalized equilibrium problem
  • Strong convergence
  • Fixed point
  • Nonexpansive mapping
  • Viscosity approximation method
  • Abstract The purpose of this paper is to investigate the problem of finding a common element of the set of solutions of a generalized equilibrium problem (for short, GEP) and the set of fixed points of a nonexpansive mapping in a Hilbert space. First, by using the well-known KKM technique we derive the existence and uniqueness of solutions of the auxiliary problems for the GEP. Second, on account of this result and Nadler's theorem, we introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of the GEP and the set of fixed points of the nonexpansive mapping. Furthermore, it is proven that the sequences generated by this iterative scheme converge strongly to a common element of the set of solutions of the GEP and the set of fixed points of the nonexpansive mapping.
    Advisory Committee
  • Soon-Yi Wu - chair
  • Shuang Huang - co-chair
  • JEN-CHIH YAO - advisor
  • Files
  • etd-0620108-161949.pdf
  • indicate access worldwide
    Date of Submission 2008-06-20

    [Back to Results | New Search]


    Browse | Search All Available ETDs

    If you have more questions or technical problems, please contact eThesys