| 二元算子方程组的唯一解 |
| |
| 引用本文： | 郑琰.二元算子方程组的唯一解[J].临沂师范学院学报,2007,29(3):15-18. |
| |
| 作者姓名： | 郑琰 |
| |
| 作者单位： | 济宁师范专科学校,数学系,山东,曲阜,273100 |
| |
| 基金项目： | 国家自然科学基金资助项目(10471075)，山东省自然科学基金资助项目(Y2003A01) |
| |
| 摘 要： | 利用锥理论和半序方法,对Banach空间上一类二元算子方程组的求解进行了探讨,利用较简捷的条件,得出方程组的唯一解及其迭代逼近式及误差估计式,并推广到n元算子方程组的情形,改进了许多有关结果.
|
| 关 键 词： | 算子方程组 逼近解 锥 |
| 文章编号： | 1009-6051（2007）03-0015-04 |
| 修稿时间： | 2006-08-26 |
The Iterative Unique Solution of Two Binary Operator Equations |
| |
| ZHENG Yan.The Iterative Unique Solution of Two Binary Operator Equations[J].Journal of Linyi Teachers' College,2007,29(3):15-18. |
| |
| Authors: | ZHENG Yan |
| |
| Abstract: | Using the cone and partial ordering theory,the existence and uniqueness of solutions for some classes of systems of two binary operator equations are discussed.And the error estimations for the convergent iterative sequence are also given.As the generalization of the main result,the solutions for some classes of systems of n binary operator equations are also given.Some known results are improved and generalized. |
| |
| Keywords: | operator equations iterative solution cone |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
