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Strong and \(\Delta \)-Convergence to a Zero of a Monotone Operator in CAT(0) Spaces

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Abstract

In this paper, \(\Delta \)-convergence and metric convergence of proximal point algorithms of Mann and Halpern types to a zero of a monotone operator on a Hadamard space are established. Some applications in convex minimization and fixed point theory are also presented.

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Authors and Affiliations

  1. Department of Mathematics, College of Sciences, Higher Education Center of Eghlid, Eghlid, Iran

    Sajad Ranjbar

  2. Department of Mathematics, University of Zanjan, P. O. Box 45195-313, Zanjan, Iran

    Hadi Khatibzadeh

Authors
  1. Sajad Ranjbar
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  2. Hadi Khatibzadeh
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Correspondence to Sajad Ranjbar.

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Ranjbar, S., Khatibzadeh, H. Strong and \(\Delta \)-Convergence to a Zero of a Monotone Operator in CAT(0) Spaces. Mediterr. J. Math. 14, 56 (2017). https://doi.org/10.1007/s00009-017-0885-y

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  • DOI: https://doi.org/10.1007/s00009-017-0885-y

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