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A note on the strong convergence of solutions to a second order evolution equation

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Title: A note on the strong convergence of solutions to a second order evolution equation
Authors: Djafari Rouhani, Behzad1 behzad@math.utep.edu, Khatibzadeh, Hadi2 hkhatibzadeh@znu.ac.ir
Source: Journal of Mathematical Analysis & Applications. May2013, Vol. 401 Issue 2, p963-966. 4p.
Subjects: Stochastic convergence, Evolution equations, Presupposition (Logic), Nonlinear systems, Monotone operators, Operator theory
Abstract: Abstract: In this note, with suitable assumptions on and , we establish the strong convergence of solutions to the following nonlinear second order evolution equation to a zero of , without assuming , and determine the rate of convergence, where is a general maximal monotone operator. We present also some applications of our result. [Copyright &y& Elsevier]
Copyright of Journal of Mathematical Analysis & Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 85405497
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: A note on the strong convergence of solutions to a second order evolution equation
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Mathematical+Analysis+%26+Applications%22">Journal of Mathematical Analysis & Applications</searchLink>. May2013, Vol. 401 Issue 2, p963-966. 4p.
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  Data: Abstract: In this note, with suitable assumptions on and , we establish the strong convergence of solutions to the following nonlinear second order evolution equation to a zero of , without assuming , and determine the rate of convergence, where is a general maximal monotone operator. We present also some applications of our result. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Journal of Mathematical Analysis & Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.jmaa.2012.11.025
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 4
        StartPage: 963
    Subjects:
      – SubjectFull: Stochastic convergence
        Type: general
      – SubjectFull: Evolution equations
        Type: general
      – SubjectFull: Presupposition (Logic)
        Type: general
      – SubjectFull: Nonlinear systems
        Type: general
      – SubjectFull: Monotone operators
        Type: general
      – SubjectFull: Operator theory
        Type: general
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      – TitleFull: A note on the strong convergence of solutions to a second order evolution equation
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            NameFull: Djafari Rouhani, Behzad
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            NameFull: Khatibzadeh, Hadi
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              Text: May2013
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              Y: 2013
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