| 带有仿射扰动混合单调算子的不动点定理及应用 |
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| 引用本文： | 刘春晗,王峰.带有仿射扰动混合单调算子的不动点定理及应用[J].徐州师范大学学报(自然科学版),2007,25(2):19-23. |
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| 作者姓名： | 刘春晗 王峰 |
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| 作者单位： | 1. 徐州师范大学,数学科学学院,江苏,徐州,221116
2. 江苏工业学院,信息科学系,江苏,常州,213164 |
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| 摘 要： | 利用半序的方法研究了一类具有某种凹凸性的混合单调算子,在非紧非连续的假设下证明了不动点的唯一性,并且应用到非线性积分方程中.
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| 关 键 词： | 凹凸算子 仿射算子 不动点 |
| 文章编号： | 1007-6573（2007）02-0019-05 |
| 修稿时间： | 2006-11-20 |
New Theorems of Fixed Points for Mixed Monotone Operators with Affine Perturbation and Applications |
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| LIU Chun-han,WANG Feng.New Theorems of Fixed Points for Mixed Monotone Operators with Affine Perturbation and Applications[J].Journal of Xuzhou Normal University(Natural Science Edition),2007,25(2):19-23. |
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| Authors: | LIU Chun-han WANG Feng |
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| Institution: | 1. School of Mathematical Science, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China; 2. Department of Information Science, Jiangsu Polytechnic University, Changzhou, Jiangsu, 213164, China |
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| Abstract: | In this paper,by using the partial order method,a class of mixed monotone operators with concavity and convexity are discussed.Without any compactness or continuity of the operators,the new fixed point theorems are obtained.In the end,the new results are applied to the nonlinear integral equations. |
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| Keywords: | concave and convex operator affine operator fixed point |
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