Title page for etd-0623109-000852


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URN etd-0623109-000852
Author Wen-te Chi
Author's Email Address clark2099@hotmail.com
Statistics This thesis had been viewed 5096 times. Download 1032 times.
Department Applied Mathematics
Year 2008
Semester 2
Degree Master
Type of Document
Language English
Title Inverse strongly monotone operators and variational inequalities
Date of Defense 2009-06-16
Page Count 24
Keyword
  • convergence
  • iteration
  • projection
  • minimization
  • Lipschitzian operator
  • Variational inequality
  • inverse strongly monotone
  • averaged mapping
  • strongly monotone
  • monotone
  • fixed point
  • Abstract In this paper, we report existing convergence results on monotone variational inequalities where the governing monotone operators are either strongly monotone or inverse strongly monotone. We reformulate the variational inequality problem as
    an equivalent fixed point problem and then use fixed point iteration method to solve the original variational inequality problem. In the case of strong monotonicity case we use the Banach’s contraction principle to define out iteration sequence; while in the case of inverse strong monotonicity we use the technique of averaged mappings to define our iteration sequence. In both cases we prove strong convergence for our
    iteration methods. An application to a minimization problem is also included.
    Advisory Committee
  • Lai-Jiu Lin - chair
  • Jen-Chih Yao - co-chair
  • Ngai-Ching Wong - co-chair
  • Hong-Kun Xu - advisor
  • Files
  • etd-0623109-000852.pdf
  • indicate access worldwide
    Date of Submission 2009-06-23

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