| 一类非紧减算子方程解的存在唯一性及其应用 |
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| 引用本文： | 赵巧玲,董云达.一类非紧减算子方程解的存在唯一性及其应用[J].西南民族学院学报(自然科学版),2007,33(2):256-259. |
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| 作者姓名： | 赵巧玲 董云达 |
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| 作者单位： | 商丘师范学院数学系 河南商丘476000(赵巧玲)，郑州大学数学系 河南郑州450002(董云达) |
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| 摘 要： | 利用锥理论和非对称迭代方法,研究了在没有连续性和紧性条件的减算子方程解的存在唯一性,作为其应用着重讨论了非减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： | 正规锥 减算子 非对称迭代 不动点 |
| 文章编号： | 1003-2843（2007）02-0256-04 |
| 修稿时间： | 2006-10-20 |
The existence uniqueness of solutions of noncompact decreasing operator equations and its application |
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| ZHAO Qiao-ling,DONG Yun-da.The existence uniqueness of solutions of noncompact decreasing operator equations and its application[J].Journal of Southwest Nationalities College(Natural Science Edition),2007,33(2):256-259. |
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| Authors: | ZHAO Qiao-ling DONG Yun-da |
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| Abstract: | By using the cone theory and non-symmetry iteration method, the author studies the existence and uniqueness of solutions of decreasing operator equations without continuity and compactness conditions. As for its application, the authors mainly study the existence and uniqueness of solutions of non-decreasing operator equations. 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: | nomal cone decreasing operator non-symmetric iteration fixed point |
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