Fixed Point Theorems on Nonlinear Binary Operator Equations with Applications
The existence and uniqueness for solution of systems of some binary nonlinear operator equations are discussed by using cone and partial order theory and monotone iteration theory. Furthermore, error estimates for iterative sequences and some corresponding results are obtained. Finally, the applicat...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/241942 |
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| _version_ | 1832562170164936704 |
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| author | Baomin Qiao |
| author_facet | Baomin Qiao |
| author_sort | Baomin Qiao |
| collection | DOAJ |
| description | The existence and uniqueness for solution of systems of some binary nonlinear operator equations are discussed by using cone and partial order theory and monotone iteration theory. Furthermore, error estimates for iterative sequences and some corresponding results are obtained. Finally, the applications of our results are given. |
| format | Article |
| id | doaj-art-22801adc1b4b4254a424bd16b459f56e |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-22801adc1b4b4254a424bd16b459f56e2025-02-03T01:23:15ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/241942241942Fixed Point Theorems on Nonlinear Binary Operator Equations with ApplicationsBaomin Qiao0Department of Mathematics, Shangqiu Normal College, Shangqiu 476000, ChinaThe existence and uniqueness for solution of systems of some binary nonlinear operator equations are discussed by using cone and partial order theory and monotone iteration theory. Furthermore, error estimates for iterative sequences and some corresponding results are obtained. Finally, the applications of our results are given.http://dx.doi.org/10.1155/2014/241942 |
| spellingShingle | Baomin Qiao Fixed Point Theorems on Nonlinear Binary Operator Equations with Applications Discrete Dynamics in Nature and Society |
| title | Fixed Point Theorems on Nonlinear Binary Operator Equations with Applications |
| title_full | Fixed Point Theorems on Nonlinear Binary Operator Equations with Applications |
| title_fullStr | Fixed Point Theorems on Nonlinear Binary Operator Equations with Applications |
| title_full_unstemmed | Fixed Point Theorems on Nonlinear Binary Operator Equations with Applications |
| title_short | Fixed Point Theorems on Nonlinear Binary Operator Equations with Applications |
| title_sort | fixed point theorems on nonlinear binary operator equations with applications |
| url | http://dx.doi.org/10.1155/2014/241942 |
| work_keys_str_mv | AT baominqiao fixedpointtheoremsonnonlinearbinaryoperatorequationswithapplications |