| 凸幂凝聚算子的Altman型不动点定理 |
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| 引用本文： | 张秀萍,张国伟. 凸幂凝聚算子的Altman型不动点定理[J]. 山东大学学报(理学版), 2013, 48(6): 87-90 |
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| 作者姓名： | 张秀萍 张国伟 |
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| 作者单位： | 东北大学理学院, 辽宁 沈阳 110819 |
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| 基金项目： | 辽宁省自然科学基金资助项目 |
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| 摘 要： | 讨论了第一个指数大于1,第二个指数不小于0和第一个指数在0到1之间,第二个指数不小于0指数情形不等式条件下凸幂凝聚算子不动点的存在性,得到了几个新的结论,推广和补充了Altman型不动点定理。
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| 关 键 词： | 不动点 凸幂凝聚算子 1-集压缩, |
| 收稿时间： | 2012-09-04 |
Fixed point theorems of Altman type about convex-power condensing operator |
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| ZHANG Xiu-ping,ZHANG Guo-wei. Fixed point theorems of Altman type about convex-power condensing operator[J]. Journal of Shandong University, 2013, 48(6): 87-90 |
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| Authors: | ZHANG Xiu-ping ZHANG Guo-wei |
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| Affiliation: | School of Sciences, Northeastern University, Shenyang 110819, Liaoning, China |
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| Abstract: | The existence of fixed points about convex-power condensing operator is discussed under the inequality conditions in which the first exponent is respectively greater than 1 and between 0 and 1, the second exponent is not less than 0. Some new conclusions are obtained which extend and supplement the fixed point theorems of Altman type. |
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| Keywords: | fixed point convex-power condensing operator 1-set-contractive |
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