| 非单调算子方程组解的存在唯一性及其应用 |
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| 引用本文： | 刘春晗,王建国,王鑫.非单调算子方程组解的存在唯一性及其应用[J].工科数学,2012(6):47-50. |
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| 作者姓名： | 刘春晗 王建国 王鑫 |
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| 作者单位： | [1]齐鲁师范学院数学系,山东济南250013 [2]徐州师范大学科文学院,江苏徐州221116 |
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| 基金项目： | 国家自然科学基金（10671167）;山东省高等学校科技计划研究项目（J09LA55）;齐鲁师范学院青年教师科研基金项目（2011L1508） |
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| 摘 要： | 在Banach空间中不具有连续性和紧性的条件下讨论了一类非单调算子方程组解的存在唯一性及迭代收敛性，并且应用到Hammerstein型积分方程中．
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| 关 键 词： | 算子方程组 非单调算子 不动点 迭代序列 |
Existence and Uniqueness of Solutions for Systems of Non-Monotone Operator Equations and Application |
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| LIUChun-han,WANG Jan-guo,WANG Xin.Existence and Uniqueness of Solutions for Systems of Non-Monotone Operator Equations and Application[J].Journal of Mathematics For Technology,2012(6):47-50. |
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| Authors: | LIUChun-han WANG Jan-guo WANG Xin |
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| Institution: | 1. Department of Mathematics; Qilu Normal University; Jinan, Shandong 250013, China; 2. Kewen Institute, Xuzhou Normal University, Xuzhou, Jiangsu 221116, China) |
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| Abstract: | We discuss the existence and uniqueness of solutions of a class of systerms of non-monotone operator equations without any compactness or continuity conditions in Banaeh space. Finally, some applications to Hammerstein integral equation are also given. |
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| Keywords: | systems of operator equations non-monotone operator fixed point iterative order |
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