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URN etd-0705111-104240
Author Jun-Hua Huang
Author's Email Address No Public.
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Department Applied Mathematics
Year 2010
Semester 2
Degree Master
Type of Document
Language English
Title Quasi-Fejer-monotonicity and its applications
Date of Defense 2011-06-24
Page Count 39
Keyword
  • Fejer monotonicity
  • quasi-Fejer monotonicity
  • strong convergence
  • quasi-nonexpansive operator
  • subgradient projector
  • inexact algorithm
  • nonexpansive operator
  • constraint disintegration method
  • weak convergence
  • Abstract    Iterative methods are extensively used to solve linear and nonlinear problems arising from both pure and applied sciences, and in particular, in fixed point theory and optimization. An iterative method which is used to find a fixed point of an operator or an optimal solution to an optimization problem generates a sequence in an iterative manner. We are in a hope that
    this sequence can converge to a solution of the problem under investigation. It is therefore quite naturally to require that the distance of this sequence to the solution set of the problem under investigation be decreasing from iteration to iteration. This is the idea of Fejer-monotonicity. In this paper, We consider quasi-Fejer monotone sequences; that is, we consider Fejer monotone sequences together with errors. Properties of quasi-Fejer monotone sequences are investigated, weak and strong convergence of quasi-Fejer monotone sequences are obtained, and an application to the convex feasibility problem is included.
    Advisory Committee
  • Lai-Jiu Lin - chair
  • Jen-Chih Yao - co-chair
  • Yen-Cherng Lin - co-chair
  • Hong-Kun Xu - advisor
  • Files
  • etd-0705111-104240.pdf
  • indicate access worldwide
    Date of Submission 2011-07-05

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