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Paper   IPM / M / 11360
School of Mathematics
  Title:   A strong convergence theorem for solutions to a nonhomogeneous second order evolutin equation
  Author(s):  H. Khatibzadeh (Joint with B. Djafari Rouhani)
  Status:   Published
  Journal: J. Math. Anal. Appl.
  Vol.:  363
  Year:  2010
  Pages:   648-654
  Supported by:  IPM
  Abstract:
In this paper, we establish the strong convergence of possible solutions to the following nonhomogeneous second order evolution system Formula Not Shown to an element of Formula Not Shown , with an exponential rate of convergence when Formula Not Shown , where A is a general maximal monotone operator in a real Hilbert space H, Formula Not Shown is a real constant and Formula Not Shown is a given function. We show also that the curve u is almost nonexpansive, and present some applications of our result.


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