Accelerated Self-Adaptive Method for Solving Nonsmooth Convex Minimization Problem in Real Hilbert Spaces
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Bibliographic record
Abstract
In this manuscript, we propose a proximal gradient type algorithm together with a two step inertia method for approximating solution of convex minimization problem in real Hilbert spaces. The proposed proximal gradient type method is designed in such a way that it does not depend on the Lipschitz constant. Using a self-adaptive rule, we obtain a weak convergence result under the condition that the gradient function of one of the convex functions is uniformly continuous. Preliminary numerical results show that our proposed method has a better convergence in comparison to some other related results in the literature.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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