Title page for etd-0629110-163913


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URN etd-0629110-163913
Author Wei-Jie Liang
Author's Email Address No Public.
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Department Applied Mathematics
Year 2009
Semester 2
Degree Master
Type of Document
Language English
Title Averaged mappings and it's applications
Date of Defense 2010-06-17
Page Count 24
Keyword
  • split feasibility problem
  • weak convergence
  • multiple-set split feasibility problem
  • Krasnosel'skii-Mann algorithm
  • averaged mapping
  • nonexpansive mapping
  • Abstract A sequence fxng generates by the formula
    x_{n+1} =(1- α\_n)x_n+ α\_nT_nx_n is called the Krasnosel'skii-Mann algorithm, where {α\_n} is a sequence in (0,1) and {T_n} is a sequence of nonexpansive mappings. We introduce KM algorithm and prove that the sequence fxng generated by KM algorithm converges weakly. This result is used to solve the split feasibility problem which is to find a point x with the property that x ∈ C and Ax ∈ Q, where C and Q are closed convex subsets form H1 to H2, respectively, and A is a bounded linear operator form H1 to H2. The purpose of this paper is to present some results which apply KM algorithm to solve the split feasibility problem, the multiple-set split feasibility problem and other applications.
    Advisory Committee
  • none - chair
  • Jen-Chih Yao - co-chair
  • Ngai-Ching Wong - co-chair
  • Hong-Kun Xu - advisor
  • Files
  • etd-0629110-163913.pdf
  • indicate not accessible
    Date of Submission 2010-06-29

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