An Inertial Algorithm for Solving Hammerstein Equations

An inertial algorithm for solving Hammerstein equations is presented. This algorithm is obtained as a consequence of a new inertial algorithm proposed and studied for solving nonlinear equations involving operators that are m-accretive. Some strong convergence theorems are proved in real Banach spac...

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Published inSymmetry (Basel) Vol. 13; no. 3; p. 376
Main Authors Chidume, Charles E., Adamu, Abubakar, Nnakwe, Monday O.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.03.2021
Subjects
Algorithms
Banach spaces
Dynamical systems
Mathematical analysis
Nonlinear equations
Partial differential equations
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ISSN2073-8994
2073-8994
DOI10.3390/sym13030376

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Summary:An inertial algorithm for solving Hammerstein equations is presented. This algorithm is obtained as a consequence of a new inertial algorithm proposed and studied for solving nonlinear equations involving operators that are m-accretive. Some strong convergence theorems are proved in real Banach spaces that are uniformly smooth. Furthermore, comparisons of the numerical performance of our algorithms with the numerical performance of some recent important algorithms are presented.
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ISSN:2073-8994
2073-8994
DOI:10.3390/sym13030376