| 反向上下解条件下的非线性算子的不动点定理 |
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| 引用本文： | 尹建东.反向上下解条件下的非线性算子的不动点定理[J].中山大学学报(自然科学版),2005,44(5):18-20. |
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| 作者姓名： | 尹建东 |
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| 作者单位： | 中山大学数学与计算科学学院,广东,广州,510275 |
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| 摘 要： | 利用锥定义空间中的半序,通过引进完全相对σ-完备集这一概念得到满足反向上下解条件(Au0≤u0＜v0≤Av0)增算子A的多个不动点存在性定理以及满足反向上下解条件(A(u0,v0)≤u0＜v0≤A(v0,u0))混合单调算子A的耦合不动点定理.
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| 关 键 词： | 锥 反向上下解 完全相对σ-完备集 保号算子 |
| 文章编号： | 0529-6579(2005)05-0018-03 |
| 收稿时间： | 10 10 2004 12:00AM |
| 修稿时间： | 2004年10月10 |
Fixed Point Theorems of Nonlinear Operators with Counter Upper-down Solution Condition |
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| YIN Jian-dong.Fixed Point Theorems of Nonlinear Operators with Counter Upper-down Solution Condition[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2005,44(5):18-20. |
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| Authors: | YIN Jian-dong |
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| Institution: | School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou 510275, China |
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| Abstract: | The multiple fixed point theorem of increasing operator and coupled quasi-fixed point theorem of mixed monotone operator which satisfy the counter upper-down solution condition are studied by using the complete relative siva-complete set. The partial ordering is defined by a cone of the real Banach space. |
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| Keywords: | cone counter upper-down solution complete relative sigma-complete set coupled quasi-fixed point |
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