| 一类非紧混合单调算子不动点的存在唯一性 |
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| 引用本文： | 赵巧玲,张凯.一类非紧混合单调算子不动点的存在唯一性[J].宝鸡文理学院学报(自然科学版),2006,26(2):105-106. |
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| 作者姓名： | 赵巧玲 张凯 |
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| 作者单位： | 商丘师范学院,数学系,河南,商丘,476000;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
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商丘师范学院校科研和教改项目 |
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| 摘 要： | 目的研究半序实Banach空间中一类混合单调算子不动点的存在唯一性。方法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混合单调算子方程解的存在唯一性。结果给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果本质改进和推广。结论非对称迭代方法是解微积分方程的又一有效方法,它能够解决半序空间中对称迭代法无能为力的问题。
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| 关 键 词： | 锥与半序 混合单调算子 非对称迭代 不动点 |
| 文章编号： | 1007-1261（2006）02-0105-02 |
| 收稿时间： | 2005-08-20 |
| 修稿时间： | 2006-03-20 |
The existence and uniqueness of the solutions of some noncompact mixed monotone operator equations |
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| ZHAO Qiao-ling,ZHANG Kai.The existence and uniqueness of the solutions of some noncompact mixed monotone operator equations[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2006,26(2):105-106. |
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| Authors: | ZHAO Qiao-ling ZHANG Kai |
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| Institution: | Dept. Math. , Shangqiu Teachers College, Shangqiu 476000, Henan, China |
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| Abstract: | Aim To analysze the exsitence and uniqueness of a kind of mixed monotone operator in the semi-order real Banach space.Methods By using the cone theory and non-symmetry iteration method,it is studied the existence and uniqueness of solutions of mixed monotone operator equations without continuity and compactness conditions.Results The iteration sequences converge to solution of operator equations and the error estimates are also given,and the results have been improved and some extend results are obtained.Conclusion Non-symmetric iteration method can efficiently solve the integral equation,and some problems which symmetry iteration method is not able to deal with in the semi-ordered space. |
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| Keywords: | cone and partial ordering mixed monotone operator non-symmetric iteration fixed point |
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