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 <i>m</i>-accretive. Some strong convergence theorems are proved...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-02-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/13/3/376 |
| _version_ | 1797395187337527296 |
|---|---|
| author | Charles E. Chidume Abubakar Adamu Monday O. Nnakwe |
| author_facet | Charles E. Chidume Abubakar Adamu Monday O. Nnakwe |
| author_sort | Charles E. Chidume |
| collection | DOAJ |
| description | 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 <i>m</i>-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. |
| first_indexed | 2024-03-09T00:30:50Z |
| format | Article |
| id | doaj.art-c3aaf80731f648838563378406d9ea0f |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T00:30:50Z |
| publishDate | 2021-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-c3aaf80731f648838563378406d9ea0f2023-12-11T18:31:17ZengMDPI AGSymmetry2073-89942021-02-0113337610.3390/sym13030376An Inertial Algorithm for Solving Hammerstein EquationsCharles E. Chidume0Abubakar Adamu1Monday O. Nnakwe2Department of Pure and Applied Mathematics, Mathematics Institute, Emerging Regional Centre of Excellence (ERCE) of the European Mathematical Society (EMS), African University of Science and Technology, PMB 681, Abuja 900107, NigeriaDepartment of Pure and Applied Mathematics, Mathematics Institute, Emerging Regional Centre of Excellence (ERCE) of the European Mathematical Society (EMS), African University of Science and Technology, PMB 681, Abuja 900107, NigeriaDepartment of Pure and Applied Mathematics, Mathematics Institute, Emerging Regional Centre of Excellence (ERCE) of the European Mathematical Society (EMS), African University of Science and Technology, PMB 681, Abuja 900107, NigeriaAn 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 <i>m</i>-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.https://www.mdpi.com/2073-8994/13/3/376nonlinear equationsaccretive mapszerosstrong convergence |
| spellingShingle | Charles E. Chidume Abubakar Adamu Monday O. Nnakwe An Inertial Algorithm for Solving Hammerstein Equations Symmetry nonlinear equations accretive maps zeros strong convergence |
| title | An Inertial Algorithm for Solving Hammerstein Equations |
| title_full | An Inertial Algorithm for Solving Hammerstein Equations |
| title_fullStr | An Inertial Algorithm for Solving Hammerstein Equations |
| title_full_unstemmed | An Inertial Algorithm for Solving Hammerstein Equations |
| title_short | An Inertial Algorithm for Solving Hammerstein Equations |
| title_sort | inertial algorithm for solving hammerstein equations |
| topic | nonlinear equations accretive maps zeros strong convergence |
| url | https://www.mdpi.com/2073-8994/13/3/376 |
| work_keys_str_mv | AT charlesechidume aninertialalgorithmforsolvinghammersteinequations AT abubakaradamu aninertialalgorithmforsolvinghammersteinequations AT mondayonnakwe aninertialalgorithmforsolvinghammersteinequations AT charlesechidume inertialalgorithmforsolvinghammersteinequations AT abubakaradamu inertialalgorithmforsolvinghammersteinequations AT mondayonnakwe inertialalgorithmforsolvinghammersteinequations |