| Banach空间中非连续非紧二元算子方程组的迭代解法 |
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| 引用本文： | 张斐然.Banach空间中非连续非紧二元算子方程组的迭代解法[J].西南民族学院学报(自然科学版),2000,26(4):371-374. |
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| 作者姓名： | 张斐然 |
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| 作者单位： | 张斐然（商丘师院数学系，河南商丘 476000） |
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| 摘 要： | 利用锥与半序理论，研究半序实Ｂanach空间中不具有连续性和紧性条件的几类二元算子方程组解的存在唯一性。并给出各种迭代序列收敛速度的误差估计，是某些已有结果的本质改进和推广。
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| 关 键 词： | 锥 半序 混合单调算子 方程组 迭代解法 BanaCh空间 |
| 文章编号： | 1003-2843(2000)04-0371-04 |
| 修稿时间： | 2000年9月25日 |
Iterative Solutions of Non-continual and Non-compactBinary Operator System of Equations in Banach Spaces |
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| ZHANG Fei-tan.Iterative Solutions of Non-continual and Non-compactBinary Operator System of Equations in Banach Spaces[J].Journal of Southwest Nationalities College(Natural Science Edition),2000,26(4):371-374. |
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| Authors: | ZHANG Fei-tan |
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| Abstract: | By using the cone and partial ordering throry this paper studies the sole existence of solutions of some binary system of equations without continuity and compactness conditions in partial ordering Banach spaces. And it gives several kinds of error estimate of iterative sequence convergence. The results presented here are an essential improvement for some corresponding results. |
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| Keywords: | cone and partial ordering mixed monotone operator system of equations iterative solutions |
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