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Halpern-type proximal point algorithm in complete CAT(0) metric spaces

Mohammad Taghi Heydari

Mohammad Taghi Heydari

  • Department of Mathematics, College of Sciences, Yasouj University,Yasouj, Iran
  • Department of Mathematics, College of Sciences, Higher Education Center of Eghlid,Eghlid, Iran
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Heydari, Mohammad Taghi
 and 
Sajad Ranjbar

Sajad Ranjbar

Department of Mathematics, College of Sciences, Higher Education Center of Eghlid,Eghlid, Iran
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Ranjbar, Sajad
  
Sep 21, 2017
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Published Online: Sep 21, 2017
Page range: 141 - 159
Received: Oct 10, 2015
Accepted: Dec 15, 2015
DOI: https://doi.org/10.1515/auom-2016-0052
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© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

First, Halpern-type proximal point algorithm is introduced in complete CAT(0) metric spaces. Then, Browder convergence theorem is considered for this algorithm and also we prove that Halpern-type proximal point algorithm converges strongly to a zero of the operator.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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