| 一类不具有连续性和紧性条件的反向混合单调算子方程解的存在性定理 |
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| 引用本文： | 李庆芳.一类不具有连续性和紧性条件的反向混合单调算子方程解的存在性定理[J].菏泽学院学报,2010,32(5). |
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| 作者姓名： | 李庆芳 |
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| 作者单位： | 河南化工职业学院,公共课教学部,河南,郑州,450042 |
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| 基金项目： | 河南省教委科研基金资助项目 |
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| 摘 要： | 在半序空间中,研究了不具有连续性和紧性条件的一类反向混合单调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,所得结果是某些已有结果的本质改进和推广.
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| 关 键 词： | 正规锥 反向混合单调算子 算子方程 方程解 |
Existence Theorem of Solution of Anti-mixed Monotone Operator Equation without the Conditions of Continuity and Compactness |
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| LI Qing-fang.Existence Theorem of Solution of Anti-mixed Monotone Operator Equation without the Conditions of Continuity and Compactness[J].Journal of Heze University,2010,32(5). |
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| Authors: | LI Qing-fang |
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| Institution: | LI Qing-fang(Dept.of Public Courses,Henan Vocational College of Chemical Technology,Zhengzhou Henan 450042,China) |
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| Abstract: | The paper discusses the existence and uniqueness of solution of anti-mixed monotone operator equation in semi-ordered space without the conditions of continuity and compactness,and the error estimations that iterative sequences converge to solutions are given.The results presented here improve and generalize some correspondingresults for anti-mixed monotone operators. |
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| Keywords: | normal cone anti-mixed monotone operator operator equation equation solution |
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