New iterative methods for nonlinear operators as concerns convex programming applicable in differential problems, image deblurring, and signal recovering problems

In this paper, using sunny nonexpansive retractions, which are different from the metric projection in Banach spaces, a new type of study regarding the iterative methods in view of two quasi‐nonexpansive nonself mappings is presented. We also give the convergence analysis for the proposed method in...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences Vol. 46; no. 3; pp. 3332 - 3355
Main Authors: Chairatsiripong, Chonjaroen, Yambangwai, Damrongsak, Thianwan, Tanakit
Format: Journal Article
Language:English
Published: Freiburg Wiley Subscription Services, Inc 01.02.2023
Subjects:
Banach spaces
convex minimization problem
Convexity
convexly constrained least square problem
image deblurring problem
Iterative methods
Operators (mathematics)
signal recovering problem
Sunny nonexpansive retract
ISSN:0170-4214, 1099-1476
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, a new type of study regarding the iterative methods in view of two quasi‐nonexpansive nonself mappings is presented. We also give the convergence analysis for the proposed method in the background of uniformly convex Banach spaces. Moreover, we apply our results to find solutions of common zeros of accretive operators, convexly constrained least square problems, and convex minimization problems. Furthermore, we also discuss novel applications of these methods to differential problems, image deblurring, and signal recovering problems.
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ISSN:0170-4214
1099-1476
DOI:10.1002/mma.8693