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On the Bregman-proximal iterative algorithm for the monotone inclusion problem in Banach spaces
- Tang, Yan;
- Zhang, Shiqing;
- Cho, Yeol Je
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2초록
In this paper, we focus on the solution of a class of monotone inclusion problems in reflexive Banach spaces. To reflect the geometry of the space and the operator, a more general proximal point iterative algorithm with Bregman divergence is proposed and some strong convergence results for the proposed scheme under standard assumptions are obtained. Meanwhile, the convex optimization problems and the critical point problems are studied in the applications, and the recovery of the sparse signal is simulated in the numerical experiments.
키워드
Bregman divergence; monotone inclusion; proximal point algorithm; reflexive Banach spaces; STRONG-CONVERGENCE THEOREMS; POINT ALGORITHM; FIXED-POINTS; OPERATORS; MAPPINGS
- 제목
- On the Bregman-proximal iterative algorithm for the monotone inclusion problem in Banach spaces
- 저자
- Tang, Yan; Zhang, Shiqing; Cho, Yeol Je
- 발행일
- 2024-04
- 유형
- Article
- 권
- 45
- 호
- 4-6
- 페이지
- 394 ~ 410