| 随机半闭1-集压缩型算子方程的随机解 |
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| 引用本文： | 朱传喜,程素丽.随机半闭1-集压缩型算子方程的随机解[J].南昌大学学报(理科版),2009,33(3):1. |
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| 作者姓名： | 朱传喜 程素丽 |
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| 作者单位： | 南昌大学数学系； |
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| 基金项目： | 国家自然科学基金，江西省自然科学基金，江西省教育厅科研项目 |
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| 摘 要： | 证明了几个新的不等式,并且利用凸函数,凹函数以及单调函数的性质,研究了随机半闭1-集压缩算子方程随机解的存在性,推广了著名的A ltm an定理,得出了一些新的结果。
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| 关 键 词： | 随机算子方程 凹函数 凸函数 随机解 |
Random Solution of Random Semi-Closed 1-Set-Contractive Operator Equation |
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| ZHU Chuan-xi,CHENG Su-li.Random Solution of Random Semi-Closed 1-Set-Contractive Operator Equation[J].Journal of Nanchang University(Natural Science),2009,33(3):1. |
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| Authors: | ZHU Chuan-xi CHENG Su-li |
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| Institution: | Department of Mathematics;Nanchang University;Nanchang 330031;China |
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| Abstract: | Several new inequalities are proved.Moreover by using the property of convex function,concave function and monotone function,the random solution existence of random semi-closed 1-set contractive operator equation is studied,the famous Altman's theorem is generalized and several new conclusions are also obtained. |
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| Keywords: | random operator equation random solution convex function concave function |
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