| 一类非紧增算子方程解的存在唯一性及其应用 |
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| 引用本文： | 孙一丹,赵巧玲. 一类非紧增算子方程解的存在唯一性及其应用[J]. 河南科学, 2006, 24(4): 474-476 |
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| 作者姓名： | 孙一丹 赵巧玲 |
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| 作者单位： | 1. 商丘职业技术学院,河南,商丘,476000
2. 商丘师范学院,数学系,河南,商丘,476000 |
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| 基金项目： | 河南省教育厅科研项目;商丘师范学院校科研和教改项目 |
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| 摘 要： | 利用锥理论和非对称迭代方法,讨论了不具有连续性和紧性条件的增算子方程解的存在唯一性,作为其应用着重讨论了非增算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计,改进和推广了某些已知结果.
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| 关 键 词： | 锥与半序 增算子 非对称迭代 不动点 |
| 文章编号： | 1004-3918(2006)04-0474-03 |
| 收稿时间： | 2006-02-17 |
| 修稿时间： | 2006-02-17 |
The Existence Uniqueness of the Solutions of Some Noncompact Increasing Operator Equations and Application |
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| SUN Yi-dan,ZHAO Qiao-ling. The Existence Uniqueness of the Solutions of Some Noncompact Increasing Operator Equations and Application[J]. Henan Science, 2006, 24(4): 474-476 |
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| Authors: | SUN Yi-dan ZHAO Qiao-ling |
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| Affiliation: | 1. Professional and Teachnolegic College of Shangqiu, Shangqiu 476000, China;2. Department of Mathematics, Shangqiu Teachers College, Shangqiu 476000, China |
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| Abstract: | By using the cone theory and non-symmetry iteration method,it is studied the existence and uniqueness of solutions of increasing operator equations without continuity and compactness conditions.For it's application,it is mainly studied the existence and uniqueness of solutions of non-increasing operator equations.And the iteration sequences which converge to solution of operator equations and the error estimates are also given.The results presented here improve and generalize some corresponding results. |
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| Keywords: | cone and partial ordering Increasing operator non-symmetric iteration fixed point |
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