| 一类减算子不动点定理的推广 |
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| 引用本文： | 崔艳兰,李小娜.一类减算子不动点定理的推广[J].河南科学,2008,26(1):9-11. |
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| 作者姓名： | 崔艳兰 李小娜 |
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| 作者单位： | 延安大学,数学与计算机科学学院,陕西,延安,716000 |
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| 摘 要： | 利用锥理论和单调迭代技巧研究了一类非紧非连续减算子的不动点的存在唯一性及迭代收敛,获得了新的结果.作为其应用,重点讨论了非减算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计,改进和推广了某些已知结果。
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| 关 键 词： | 锥与半序 减算子 单调迭代 不动点 |
| 文章编号： | 1004-3918（2008）01-0009-03 |
| 收稿时间： | 2007-06-25 |
| 修稿时间： | 2007年6月25日 |
The Generalization of Fixed Point Theory about some Decreasing Operator |
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| CUI Yan-lan,LI Xiao-na.The Generalization of Fixed Point Theory about some Decreasing Operator[J].Henan Science,2008,26(1):9-11. |
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| Authors: | CUI Yan-lan LI Xiao-na |
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| Institution: | College of Mathematics and Computer Science;Yan'an University;Yan'an 716000;China |
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| Abstract: | In this paper,by using the theory of cone and monotone iteratived techniques,the existence,uniqueness and iteration of some noncompact and noncontinuous decreasing operator' fixed point are discussed,and new conclusions are gained.For its application,the existence and uniqueness of solutions of non-decreasing operator equations are studied,and the iteration sequences which converge to solution of operator equations and the error estimates are also given.The results presented here improve and generalize some... |
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| Keywords: | cone and partial ordering decreasing operator monotone iteratived techniques fixed point |
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