| 一类反向混合单调对称压缩算子方程解的存在与惟一性定理 |
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| 引用本文： | 宋益荣,刘洪运.一类反向混合单调对称压缩算子方程解的存在与惟一性定理[J].河南科学,2011,29(5):514-516. |
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| 作者姓名： | 宋益荣 刘洪运 |
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| 作者单位： | 商丘职业技术学院,河南,商丘,476000 |
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| 基金项目： | 河南省自然科学基金资助项目 |
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| 摘 要： | 利用锥理论和非对称迭代方法,在半序空间中研究了一类具有反向混合单调对称压缩算子方程解的存在与惟一性,并给出迭代序列收敛于解的误差估计,所得结果改进和推广了混合单调算于方程某些已知相应结果.
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| 关 键 词： | 非对称迭代 算子方程 反向混合单调算子 |
Existence and Uuiqueness Theorem of Solution of Anti-Mixed Monotone Symmetric Compression Operator Equation |
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| Song Yirong,Liu Hongyun.Existence and Uuiqueness Theorem of Solution of Anti-Mixed Monotone Symmetric Compression Operator Equation[J].Henan Science,2011,29(5):514-516. |
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| Authors: | Song Yirong Liu Hongyun |
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| Institution: | (Shangqiu Volcational and Technical College,Shangqiu 476000,Henan China) |
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| Abstract: | Using the cone theory and non-symmetric iteration method,it is discussed that existence and uniqueness of solution of anti-mixed monotone symmetric compression operator equation in semi-ordered space,and the error estimates that the iterative sequences converge to solutions are also given,the results presented improve and generalize some corresponding results for mixed monotone operator. |
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| Keywords: | non-symmetric iteration operator equation anti-mixed monotone operator |
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