| 一类凹与凸算子的推广 |
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| 引用本文： | 翟成波,王文霞,张玲玲. 一类凹与凸算子的推广[J]. 数学学报, 2008, 51(3): 529-540. DOI: CNKI:SUN:SXXB.0.2008-03-016 |
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| 作者姓名： | 翟成波 王文霞 张玲玲 |
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| 作者单位： | 山西大学数学科学学院,太原师范学院数学系,太原理工大学理学院 太原 030006,太原 030012,太原 030024 |
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| 摘 要： | 运用锥的性质以及单调迭代技巧给出了一类广义凹算子与凸算子正不动点的存在唯一性,并讨论了算子特征值方程的性质.作为应用,利用所获结果研究了一类积分方程正解的存在唯一性.
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| 关 键 词： | 凹与凸算子 正规锥 不动点 |
| 收稿时间： | 2006-06-01 |
Generalizations for a Class of Concave and Convex Operators |
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| Affiliation: | Cheng Bo ZHAI School of Mathematical Science,Shanxi University,Taiyuan 030006,P.R.China Wen Xia WANG Department of Mathematics,Taiyuan Teachers College,Taiyuan 030012,P.R.China Ling Ling ZHANG The Science College of Taiyuan University of Technology,Taiyuan 030024,P.R.China |
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| Abstract: | The existence and uniqueness of positive fixed points for a class of gen- eralized concave and convex operators is obtained by means of the properties of cone and monotone iterative technique,and the properties of eigenvalue equations for these operators are also given.As an application,we utilize the results obtained in this pa- per to study the existence and uniqueness of positive solutions for a class of integral equations. |
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| Keywords: | concave and convex operator normal cone fixed point |
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