| 一类混合单调算子方程组解的存在唯一性 |
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| 引用本文： | 王海霞,雷海,张东梅. 一类混合单调算子方程组解的存在唯一性[J]. 齐齐哈尔大学学报(自然科学版), 2009, 25(1) |
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| 作者姓名： | 王海霞 雷海 张东梅 |
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| 作者单位： | 西北大学,数学系,西安,710127;蒲城职教中心,陕西,蒲城,715500;榆林市第十中学,陕西,榆林,719000 |
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| 基金项目： | 陕西省教育厅资助项目 |
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| 摘 要： | 研究了实Banach空间中混合单调算子方程组解的存在唯一性.用混合单调算子理论及单调迭代方法,给出了解的迭代序列和误差估计,所得结果改进和拓展了混合单调算子方程组的某些相应结果.
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| 关 键 词： | 锥与半序 混合单调算子 方程组 |
Existence and uniqueness of solutions for a class of mixed monotone operators |
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| WANG Hai-xia,LEI Hai,ZHANG Dong-mei. Existence and uniqueness of solutions for a class of mixed monotone operators[J]. Journal of Qiqihar University(Natural Science Edition), 2009, 25(1) |
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| Authors: | WANG Hai-xia LEI Hai ZHANG Dong-mei |
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| Affiliation: | 1.Department of Mathematicics;Northwest University;Xi' an 710069;China;2.Pucheng Vocational Education School;Shanxi Pucheng 715500;3.Tenth Middle School Yulin;Shanxi Yulin 719000;China |
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| Abstract: | Discussed the existence and uniqueness of solutions for a class of mixed monotone operators equations in the real Banach space.By using the mixed monotone operators theory and monotone iteration method,to analysize the existence and uniqueness of this operators equations.The iteration sequences converge to solution of operator equations and the error estimates are also given.The results have been improved and some results are obtained. |
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| Keywords: | cone and partial ordering mixed monotone operator systems operators equations |
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