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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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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Abstract 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.
AbstractList 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.
Author Chairatsiripong, Chonjaroen
Yambangwai, Damrongsak
Thianwan, Tanakit
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Snippet In this paper, using sunny nonexpansive retractions which are different from the metric projection in Banach spaces, we develop the $ CR $-iteration algorithm...
In this paper, using sunny nonexpansive retractions which are different from the metric projection in Banach spaces, we develop the CR-iteration algorithm in...
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SubjectTerms convex minimization problem
convexly constrained least square problem
image restoration problem
signal recovery problem
sunny nonexpansive retract
Title 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
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