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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Vydáno v:Mathematical methods in the applied sciences Ročník 46; číslo 3; s. 3332 - 3355
Hlavní autoři: Chairatsiripong, Chonjaroen, Yambangwai, Damrongsak, Thianwan, Tanakit
Médium: Journal Article
Jazyk:angličtina
Vydáno: Freiburg Wiley Subscription Services, Inc 01.02.2023
Témata:
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
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.8693