Iterative Scheme with Errors for Common Zeros of Finite Accretive Mappings and Nonlinear Elliptic Systems
We present a new iterative scheme with errors to solve the problems of finding common zeros of finite m-accretive mappings in a real Banach space. Strong convergence theorems are established, which extend the corresponding works given by some authors. Moreover, the relationship between zeros of m-ac...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/646843 |
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| author | Li Wei Ruilin Tan |
| author_facet | Li Wei Ruilin Tan |
| author_sort | Li Wei |
| collection | DOAJ |
| description | We present a new iterative scheme with errors to solve the problems of finding common zeros of finite m-accretive mappings in a real Banach space. Strong convergence theorems are established, which extend the corresponding works given by some authors. Moreover, the relationship between zeros of
m-accretive mappings and one kind of nonlinear elliptic systems is investigated, from which we can see that some restrictions imposed on the iterative scheme are valid
and the solution of one kind of nonlinear elliptic systems can be approximated by a suitably defined iterative sequence. |
| format | Article |
| id | doaj-art-e81de53aa0474967bc9c2dc88a2f3584 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e81de53aa0474967bc9c2dc88a2f35842025-02-03T05:47:50ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/646843646843Iterative Scheme with Errors for Common Zeros of Finite Accretive Mappings and Nonlinear Elliptic SystemsLi Wei0Ruilin Tan1School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, ChinaSchool of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, ChinaWe present a new iterative scheme with errors to solve the problems of finding common zeros of finite m-accretive mappings in a real Banach space. Strong convergence theorems are established, which extend the corresponding works given by some authors. Moreover, the relationship between zeros of m-accretive mappings and one kind of nonlinear elliptic systems is investigated, from which we can see that some restrictions imposed on the iterative scheme are valid and the solution of one kind of nonlinear elliptic systems can be approximated by a suitably defined iterative sequence.http://dx.doi.org/10.1155/2014/646843 |
| spellingShingle | Li Wei Ruilin Tan Iterative Scheme with Errors for Common Zeros of Finite Accretive Mappings and Nonlinear Elliptic Systems Abstract and Applied Analysis |
| title | Iterative Scheme with Errors for Common Zeros of Finite Accretive Mappings and Nonlinear Elliptic Systems |
| title_full | Iterative Scheme with Errors for Common Zeros of Finite Accretive Mappings and Nonlinear Elliptic Systems |
| title_fullStr | Iterative Scheme with Errors for Common Zeros of Finite Accretive Mappings and Nonlinear Elliptic Systems |
| title_full_unstemmed | Iterative Scheme with Errors for Common Zeros of Finite Accretive Mappings and Nonlinear Elliptic Systems |
| title_short | Iterative Scheme with Errors for Common Zeros of Finite Accretive Mappings and Nonlinear Elliptic Systems |
| title_sort | iterative scheme with errors for common zeros of finite accretive mappings and nonlinear elliptic systems |
| url | http://dx.doi.org/10.1155/2014/646843 |
| work_keys_str_mv | AT liwei iterativeschemewitherrorsforcommonzerosoffiniteaccretivemappingsandnonlinearellipticsystems AT ruilintan iterativeschemewitherrorsforcommonzerosoffiniteaccretivemappingsandnonlinearellipticsystems |