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一类增算子的新不动点的迭代解法
引用本文:刘鸣放,张斐然.一类增算子的新不动点的迭代解法[J].河南大学学报(自然科学版),2007,37(2):114-116.
作者姓名:刘鸣放  张斐然
作者单位:河南大学,数学系,河南,开封,475000;商丘师院,数学系,河南,商丘,476000
摘    要:利用锥理论单调迭代技巧,在空间LpI,E]中得到了一些新的增算子不动点的存在性定理及其不动点的迭代解法.所得结果改进和推广了增算子的某些已知相应结果.

关 键 词:锥与半序  增算子  不动点  迭代解法
文章编号:1003-4978(2007)02-0114-03
修稿时间:2006-06-16

Iterative Solution of new Fixed Point of Some Increasing Operators
LIU Ming-fang,ZHANG Fei-ran.Iterative Solution of new Fixed Point of Some Increasing Operators[J].Journal of Henan University(Natural Science),2007,37(2):114-116.
Authors:LIU Ming-fang  ZHANG Fei-ran
Institution:1 .Department of Mathematics, Henan University, Henan Kai feng 475000,China 2 .Department of Mathematics, Shangqiu Teachers College, Henan shangqiu 476000,China
Abstract:By using the cone theory and the monotone succession skills,some theorems of fixed point and iterative technique for increasing operators in LpI,E] are obtained.The results presented here improve and generalize some corresponding results for increasing operators.
Keywords:cone and partial ordering  increasing operators  fixed point  iterative solution
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