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一致u0-凹算子列的极限算子的不动点
引用本文:陈晓雷. 一致u0-凹算子列的极限算子的不动点[J]. 浙江大学学报(理学版), 2007, 34(3): 257-261
作者姓名:陈晓雷
作者单位:浙江财经学院,数学与统计学院,浙江,杭州,310012
基金项目:江西省自然科学基金资助项目(No.0311002);浙江省自然科学基金资助项目(Y606132).
摘    要:讨论了一致U0-凹算子列{An}按适当的意义收敛于非线性算子A时,极限算子A的不动点的存在性及惟一性,并给出了极限算子A的不动点的一种逼近方式,还指出了An的不动点与A的不动点之间的关系.

关 键 词:一致u0-凹算子  广义压缩算子  诸An等度  u0-匀敛
文章编号:1008-9497(2007)03-257-05
修稿时间:2005-10-21

Fixed point of the limit operator of sequence of uniformly u0-concave operators
CHEN Xiao-lei. Fixed point of the limit operator of sequence of uniformly u0-concave operators[J]. Journal of Zhejiang University(Sciences Edition), 2007, 34(3): 257-261
Authors:CHEN Xiao-lei
Affiliation:Institute of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou 310012, China
Abstract:The existence and uniqueness of fixed point of A, which is the limit of a sequence of uniformly u0-concave operators {An} is investigated. The approachable mode for the fixed point of the limit operator A has been given, the relations between the fixed points of An and fixed point of limit operator A are shown clearly.
Keywords:uniformly u0-concave operators generalized contraction operator   A. are equi-uniformly u0-concave operators   uniformly u0-convergent
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