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

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...

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Bibliographic Details
Published in:	AIMS mathematics Vol. 8; no. 3; pp. 7163 - 7195
Main Authors:	Yambangwai, Damrongsak, Chairatsiripong, Chonjaroen, Thianwan, Tanakit
Format:	Journal Article
Language:	English
Published:	AIMS Press 2023
Subjects:	convex minimization problem convexly constrained least square problem image restoration problem signal recovery problem sunny nonexpansive retract
ISSN:	2473-6988, 2473-6988
Online Access:	Get full text
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Summary:	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.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2023361