Iterative manner involving sunny nonexpansive retractions for nonlinear operators from the perspective of convex programming as applicable to differential problems, image restoration and signal recovery

AIMS Mathematics

article

Damrongsak Yambangwai¹  Chonjaroen Chairatsiripong¹  Tanakit Thianwan¹ 

[1] Department of Mathematics, School of Science, University of Phayao

关键词: convexly constrained least square problem;    convex minimization problem;    signal recovery problem;    image restoration problem;    sunny nonexpansive retract;   

DOI  :  10.3934/math.2023361

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this paper, using sunny nonexpansive retractions which are different from the metric projection in Banach spaces, we develop the $ CR $-iteration algorithm in view of two quasi-nonexpansive nonself mappings and also give the convergence analysis for the proposed method in the setting of uniformly convex Banach spaces. Furthermore, our results can be applied for the purpose of finding common zeros of accretive operators, convexly constrained least square problems and convex minimization problems. Regarding application, some numerical experiments involving real-world problems are provided, with focus on differential problems, image restoration problems and signal recovery problems.

【 授权许可】

CC BY