An efficient gradient-free projection algorithm for constrained nonlinear equations and image restoration

Motivated by the projection technique, in this paper, we introduce a new method for approximating the solution of nonlinear equations with convex constraints. Under the assumption that the associated mapping is Lipchitz continuous and satisfies a weaker assumption of monotonicity, we establish the g...

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Vydáno v:AIMS mathematics Ročník 6; číslo 1; s. 235 - 260
Hlavní autoři: Ibrahim, Abdulkarim Hassan, Kumam, Poom, Abubakar, Auwal Bala, Yusuf, Umar Batsari, Yimer, Seifu Endris, Aremu, Kazeem Olalekan
Médium: Journal Article
Jazyk:angličtina
Vydáno: AIMS Press 01.01.2021
Témata:
compressive sensing
conjugate gradient method
convex constrained
nonlinear equations
projection method
unconstrained optimization
ISSN:2473-6988, 2473-6988
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Shrnutí:Motivated by the projection technique, in this paper, we introduce a new method for approximating the solution of nonlinear equations with convex constraints. Under the assumption that the associated mapping is Lipchitz continuous and satisfies a weaker assumption of monotonicity, we establish the global convergence of the sequence generated by the proposed algorithm. Applications and numerical example are presented to illustrate the performance of the proposed method.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021016