| 非对称迭代算子的不动点 |
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| 引用本文： | 孙洁,吴宏达.非对称迭代算子的不动点[J].徐州师范大学学报(自然科学版),2011,29(2):44-46. |
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| 作者姓名： | 孙洁 吴宏达 |
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| 作者单位： | 1. 徐州师范大学数学科学学院,江苏徐州,221116
2. 中国人民解放军73603部队,江苏南京,210002 |
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| 基金项目： | 国家自然科学基金，江苏省普通高校研究生科研创新计划项目 |
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| 摘 要： | 将非线性泛函分析与向量格理论相结合,研究一类混合单调算子的不动点.用u0零幂算子来控制非对称迭代,可以得到其不动点是u0收敛的,其近似解的误差估计可以充分小.这不同于以往Banach空间中不动点的研究.
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| 关 键 词： | u0完备的Archimedean型向量格 非对称迭代算子 不动点 |
Fixed point theorems of asymmetric iterative operators |
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| Sun Jie,Wu Hongda.Fixed point theorems of asymmetric iterative operators[J].Journal of Xuzhou Normal University(Natural Science Edition),2011,29(2):44-46. |
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| Authors: | Sun Jie Wu Hongda |
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| Institution: | Sun Jie1,Wu Hongda2(1.School of Mathematical Science,Xuzhou Normal University,Xuzhou 221116,Jiangsu,China,2.73603 Troops,People's Liberation Army,Nanjing 210002,China) |
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| Abstract: | By using nonlinear functional analysis and vector lattice theory,the fixed point of the mixed monotone operator is discussed.And by using u0-zero-power operator to control the asymmetric iteration,the fixed point is u0-convergence,and its approximate solution error estimation can be fully small,which is differ from previous researches in Banach space. |
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| Keywords: | u0-complete Archimedean vector lattice asymmetric iterative operator fixed point |
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