| 完备概率空间上连续随机算子的公共不动点 |
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| 引用本文： | 王焕许.完备概率空间上连续随机算子的公共不动点[J].哈尔滨师范大学自然科学学报,2005,21(4):21-23,28. |
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| 作者姓名： | 王焕许 |
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| 作者单位： | 绥化学院 |
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| 摘 要： | 本文在完备概率测度空间上引入m个连续随机算子，讨论了由同一起点产生的轨道序列和由m个不同一起点产生的轨道序列上的收敛点，从而确定了m个连续随机算子的几乎处处不动点，创立了若干个定理，在一定条件下，改进和推广了参考文献1～5]的某些主要结果。
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| 关 键 词： | 完备概率测度空间 可分空间 随机轨道序列 随机压缩尺度函数 共公不动点 |
COMMON FIXED POINT THEOREMS OF CONTINUOUS RANDOM OPERATOR ON COMPLETE PROBABILISTIC MEASURE SPACE |
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| Wang Huanxu.COMMON FIXED POINT THEOREMS OF CONTINUOUS RANDOM OPERATOR ON COMPLETE PROBABILISTIC MEASURE SPACE[J].Natural Science Journal of Harbin Normal University,2005,21(4):21-23,28. |
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| Authors: | Wang Huanxu |
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| Abstract: | In this paper, we introduce the m random operator in complete probability space, discuss the problems of almost sure random fixed points on Polish space. Which be set up on the conditions of the orbital contraction, quasi-contraction continuous operator and probability. Under certain conditions, some main results of the references 1~5] were extended and improved. |
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| Keywords: | Complete probability space Separated space Random orbital sequence Random contraction function Common point |
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