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一类非线性算子方程的迭代求解
引用本文:张兵,姚瑶.一类非线性算子方程的迭代求解[J].徐州师范大学学报(自然科学版),2008,26(3):61-64.
作者姓名:张兵  姚瑶
作者单位:徐州师范大学,数学科学学院,江苏,徐州,221116
摘    要:利用锥理论和半序理论研究Banach空间中的非线性算子方程解的存在惟一性问题.改进和推广了某些已知结果.

关 键 词:Banach空间  半序理论  收敛估计式  正规锥

Iterative Technique for a Class of Nonlinear Operator Equations
ZHANG Bing,YAO Yao.Iterative Technique for a Class of Nonlinear Operator Equations[J].Journal of Xuzhou Normal University(Natural Science Edition),2008,26(3):61-64.
Authors:ZHANG Bing  YAO Yao
Institution:(School of Mathematical Science, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China)
Abstract:The existence and uniqueness of solution for a class of nonlinear operator equations are studied by using the cone theory and partial ordering method. The result presented here improves and generalizes some known results.
Keywords:Banach space  partial ordering method  convergence estimation equation~ normal cone
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