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 language | English |
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Pages (from-to) | 845-857 |
Number of pages | 13 |
Journal | Kragujevac Journal of Mathematics |
Volume | 48 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2024 |
Externally published | Yes |
Keywords
- Fixed Points
- flat Hadamard spaces
- hybrid-type algorithm
- monotone operators
- proximal point algorithm