| F~*空间中模糊映射的非线性方程解的存在性 |
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| 引用本文： | 宋明亮.F~*空间中模糊映射的非线性方程解的存在性[J].四川师范大学学报(自然科学版),2012(2):244-248. |
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| 作者姓名： | 宋明亮 |
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| 作者单位： | 江苏教育学院数学与信息技术学院 |
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| 基金项目： | 江苏省高校自然科学基金(10KJD110006);江苏省高校“青蓝工程”基金(2010QLP27)资助项目 |
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| 摘 要： | 在F*空间中引入φ-收缩偶的概念,研究F*空间中具有φ-收缩偶的非线性算子方程组解的存在性与唯一性,得到F*空间中模糊映射的非线性方程迭代收敛解的存在性,统一并推广了文献相应的结果.
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| 关 键 词： | F*空间 φ-收缩偶 非线性方程组 模糊映射 |
The Existence of Solutions for Nonlinear Equations with Fuzzy Mappings in F~* Spaces |
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| SONG Ming-liang.The Existence of Solutions for Nonlinear Equations with Fuzzy Mappings in F~* Spaces[J].Journal of Sichuan Normal University(Natural Science),2012(2):244-248. |
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| Authors: | SONG Ming-liang |
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| Institution: | SONG Ming-liang(School of Mathematics and Information Technology,Jiangsu Institute of Education,Nanjing 210013,Jiangsu) |
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| Abstract: | The purpose of this paper is to introduce the concept of φ-contractor couple in F* spaces and to study the existence and uniqueness of solutions for the system of nonlinear operator equations with the φ-contractor couples in F* spaces.By using them,we obtain the existence and iteration convergence of solutions for nonlinear equations with fuzzy mappings in F* spaces.Our results unify and generalize the corresponding results by Alman,Chang et al. |
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| Keywords: | F* spaces φ-contractor couple nonlinear equations fuzzy mapping |
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