A product of strongly quasi-nonexpansive mappings in Hadamard spaces
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909597708582912 |
|---|---|
| author | Worapitpong, Wiparat Chaipunya, Parin Kumam, Poom Termkaew, Sakan |
| author_facet | Worapitpong, Wiparat Chaipunya, Parin Kumam, Poom Termkaew, Sakan |
| contents | In this paper, we prove that the product of strongly quasi-nonexpansive $Δ$-demiclosed mappings is also a strongly quasi-nonexpansive orbital $Δ$-demiclosed mapping in Hadamard spaces. Additionally, we establish the $Δ$-convergence theorem for approximating a common fixed point of infinite products of these mappings in Hadamard spaces. Our results have practical applications in convex function minimization, the minimization of the sum of finitely many convex functions, and solving the convex feasibility problem for finitely many sets in Hadamard spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_21402 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A product of strongly quasi-nonexpansive mappings in Hadamard spaces Worapitpong, Wiparat Chaipunya, Parin Kumam, Poom Termkaew, Sakan Functional Analysis In this paper, we prove that the product of strongly quasi-nonexpansive $Δ$-demiclosed mappings is also a strongly quasi-nonexpansive orbital $Δ$-demiclosed mapping in Hadamard spaces. Additionally, we establish the $Δ$-convergence theorem for approximating a common fixed point of infinite products of these mappings in Hadamard spaces. Our results have practical applications in convex function minimization, the minimization of the sum of finitely many convex functions, and solving the convex feasibility problem for finitely many sets in Hadamard spaces. |
| title | A product of strongly quasi-nonexpansive mappings in Hadamard spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2504.21402 |