A generalized viscosity forward-backward splitting scheme with inertial terms for solving monotone inclusion problems and its applications
Our aim was to establish a novel generalized viscosity forward-backward splitting scheme that incorporates inertial terms for addressing monotone inclusion problems within a Hilbert space. By incorporating appropriate control conditions, we achieved strong convergence. The significance of this theor...
Uloženo v:
| Vydáno v: | AIMS mathematics Ročník 9; číslo 9; s. 23632 - 23650 |
|---|---|
| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
AIMS Press
01.01.2024
|
| Témata: | |
| ISSN: | 2473-6988, 2473-6988 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Shrnutí: | Our aim was to establish a novel generalized viscosity forward-backward splitting scheme that incorporates inertial terms for addressing monotone inclusion problems within a Hilbert space. By incorporating appropriate control conditions, we achieved strong convergence. The significance of this theorem lies in its applicability to resolve convex minimization problems. To demonstrate the efficacy of our proposed algorithm, we conducted a comparative analysis of its convergence behavior against other algorithms. Finally, we showcased the performance of our proposed method through numerical experiments aimed at addressing image restoration problems. |
|---|---|
| ISSN: | 2473-6988 2473-6988 |
| DOI: | 10.3934/math.20241149 |