| 一类非线性算子方程解的存在唯一性及其应用 |
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| 引用本文： | 谢志林,刘笑颖. 一类非线性算子方程解的存在唯一性及其应用[J]. 淮阴师范学院学报(自然科学版), 2008, 7(2) |
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| 作者姓名： | 谢志林 刘笑颖 |
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| 作者单位： | 徐州师范大学,数学科学学院,江苏,徐州,221116 |
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| 摘 要： | 在更广泛的条件下利用锥理论,研究了Banach空间中的一类非线性算子方程解的存在唯一性问题,并应用到一类积分方程中.
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| 关 键 词： | Banach空间 正规锥 迭代 不动点 |
Existence and Uniqueness of Solutions for a Class of Nonlinear Operator Equations and its Applications |
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| XIE Zhi-lin,LIU Xiao-ying. Existence and Uniqueness of Solutions for a Class of Nonlinear Operator Equations and its Applications[J]. Journal of Huaiyin Teachers College(Natrual Science Edition), 2008, 7(2) |
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| Authors: | XIE Zhi-lin LIU Xiao-ying |
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| Abstract: | By using the cone theory,the existence and uniqueness theorem of solutions for a class of nonlinear operator equations in ordered Banach spaces are investigated in more general condition.As an applicaion,the existence and uniqueness theorem of solutions for integral equations are given. |
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| Keywords: | banach spaces normal cone iterative fixed point |
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