| 拟序下非连续增算子新的广义不动点定理 |
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| 引用本文： | 姜鑫,薛西锋.拟序下非连续增算子新的广义不动点定理[J].纯粹数学与应用数学,2014,30(4):406-411. |
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| 作者姓名： | 姜鑫 薛西锋 |
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| 作者单位： | 西北大学数学学院,陕西西安,710127 |
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| 基金项目： | 陕西省自然科学专项基金 |
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| 摘 要： | 运用序方法研究了拟序空间X中具A=CB型非连续增算子的广义不动点的存在性问题,证明了在拟序空间X中具A=CB型非连续增算子存在最小广义不动点和最大广义不动点.所得结果推广了相关结论.
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| 关 键 词： | 拟序关系 拟序拓扑空间 增算子 广义不动点 |
Some new generalized fixed point theorems for discontinuous increasing operator under quasi-order |
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| Jiang Xin,Xue Xifeng.Some new generalized fixed point theorems for discontinuous increasing operator under quasi-order[J].Pure and Applied Mathematics,2014,30(4):406-411. |
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| Authors: | Jiang Xin Xue Xifeng |
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| Institution: | (Department of Mathematics, Northwest University, Xi＇an 710127, China) |
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| Abstract: | The existence of generalized fixed points for discontinuous increasing operators which is expressed as the form A -- CB with respect to quasi-order X is studied by using the order method. The existence of minimal and maximal generalized fixed points for discontinuous increasing operators which is expressed as the form A -- CB with respect to quasi-order X is proved, and the obtained results improve the related known works. |
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| Keywords: | quasi-order quasi-ordered topological space increasing operator generalized fixed point |
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