On generalized {\Phi}-strongly monotone mappings and algorithms for the solution of equations of Hammerstein type
| Autor: | Aibinu, M. O., Mewomo, O. T. |
|---|---|
| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.22075/ijnaa.2019.16797.1894 |
| Popis: | In this paper, we consider the class of generalized {\Phi}-strongly monotone mappings and the methods of approximating a solution of equations of Hammerstein type. Auxiliary mapping is defined for nonlinear integral equations of Hammerstein type. The auxiliary mapping is the composition of bounded generalized {\Phi}-strongly monotone mappings which satisfy the range condition. Suitable conditions are imposed to obtain the boundedness and to show that the auxiliary mapping is a generalized {\Phi}-strongly which satisfies the range condition. A sequence is constructed and it is shown that it converges strongly to a solution of equations of Hammerstein type. The results in this paper improve and extend some recent corresponding results on the approximation of a solution of equations of Hammerstein type. Comment: 16 pages. International Journal of Nonlinear Analysis and Applications |
| Databáze: | arXiv |
| Externí odkaz: |
|