| 随机非线性凝聚算子方程的随机解 |
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| 引用本文： | 王丽君,杨风华.随机非线性凝聚算子方程的随机解[J].应用泛函分析学报,2014(2):150-153. |
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| 作者姓名： | 王丽君 杨风华 |
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| 作者单位： | [1]曲阜师范大学计算机科学学院,日照276816 [2]曲阜师范大学数学科学学院,曲阜273165 |
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| 基金项目： | 山东省软科学研究计划（2010RKGA1053） |
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| 摘 要： | 利用随机拓扑度理论研究随机非线性凝聚算子，在一定条件下得到随机算子方程A（w，x）=μx的随机解和随机算子不动点的存在性，所得结论减弱了已知文献中相应定理的条件．
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| 关 键 词： | 随机凝聚算子 随机拓扑度 随机算子方程 随机不动点 |
Random Solution of Random Nonlinear Operator Equations |
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| WANG Lijun,YANG Fenghua.Random Solution of Random Nonlinear Operator Equations[J].Acta Analysis Functionalis Applicata,2014(2):150-153. |
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| Authors: | WANG Lijun YANG Fenghua |
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| Institution: | 1. School of Computer Science, Qufu Normal University, Rizhao 276816, China; 2. School of Mathematical Sciences Qufu Normal University, Qufu 273165, China) |
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| Abstract: | Random condensing operators are studied by using random topological degree theory. Under some boundary conditions, we get the random solution for the random operator equation A（w,x）=μx and existence of random fixed points for the random operator. Our conclusion weaken conditions of the results in known literature. |
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| Keywords: | random condensing operator random topological degree random operator equation random fixed point |
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