| 一类单调算子的新不动点定理 |
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| 引用本文： | 王维娜,薛西锋. 一类单调算子的新不动点定理[J]. 纯粹数学与应用数学, 2014, 0(3): 292-298 |
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| 作者姓名： | 王维娜 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： | 陕西省自然科学基金（2012JM1017） |
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| 摘 要： | 利用单调迭代法、数学归纳法以及序差距的性质,在半序Banach空间中探究不具有紧性、连续性以及任何凹凸性的单调算子不动点存在以及惟一性问题,得出其新不动点定理,这些结果对相关结论进行了推广,使其适用范围更广,同时将该结论应用于求解Volterra型积分方程组问题中.
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| 关 键 词： | 单调算子 正规锥 不动点 序差对 序差距 |
New fixed point theorems of the monotone operator and its application |
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| Wang Weina,Xue Xifeng. New fixed point theorems of the monotone operator and its application[J]. Pure and Applied Mathematics, 2014, 0(3): 292-298 |
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| Authors: | Wang Weina Xue Xifeng |
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| Affiliation: | (School of Mathematics, Northwest University, Xi＇an 710127, China) |
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| Abstract: | In order to explore the existence and uniqueness of monotone operator without compactness, continuity, and any convex conditions fixed points in partially ordered Banach space, the paper uses the monotone iterative method and mathematical induction as well as the properties of the sequence gaps. Then we obtained the new fixed point theorems of it. The results obtained generalize the related conclusion, so that it can be widely applicable scope, Meanwhile the conclusion is applied to solve the problem for Volterra integral equation group. |
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| Keywords: | monotone operator normal cone fixed point order difference pair sequence gaps |
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