ON THE PROXIMAL POINT ALGORITHM OF HYBRID-TYPE IN FLAT HADAMARD SPACES WITH APPLICATIONS

Lawal Yusuf Haruna, Godwin Chidi Ugwunnadi, Bashir Ali

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we introduce a hybrid-type proximal point algorithm for approximating zero of monotone operator in Hadamard-type spaces. We then prove that a sequence generated by the algorithm involving Mann-type iteration converges strongly to a zero of the said operator in the setting of flat Hadamard spaces. To the best of our knowledge, this result presents the first hybrid-type proximal point algorithm in the space. The result is applied to convex minimization and fixed point problems.

Original languageEnglish
Pages (from-to)845-857
Number of pages13
JournalKragujevac Journal of Mathematics
Volume48
Issue number6
DOIs
Publication statusPublished - 2024
Externally publishedYes

Keywords

  • Fixed Points
  • flat Hadamard spaces
  • hybrid-type algorithm
  • monotone operators
  • proximal point algorithm

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