Banach空间中带误差的渐进准非扩张映射迭代序列的不动点问题

Fixed-point Iterations Sequence for Asymphotically Quasi-nonexpansive Mapping with an Error Member in Banach Spaces

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摘要引入了新的迭代方法,即带误差的三步迭代方案,给出了带误差的渐进准非扩张三步迭代序列收敛到不动点的充要条件,使以前的结果得到推广和提高. By using a new three-step iterative scheme for asymphotically quasi_nonexpansive mapping with an error member in Banach spaces.A sufficient and necessary condition is obtached for iterations sequence to converge to fixed points for asymphotically quasi-nonexpansive mapping with an error member.It represent an extension as well as refinement of previous known results.

作者佟慧王小英

机构地区河北大学数学与计算机学院承德旅游职业学院经济系

出处《河北大学学报（自然科学版）》 CAS 北大核心 2005年第4期355-357,364,共4页 Journal of Hebei University(Natural Science Edition)

关键词带误差的三步迭代序列渐进准非扩张映射不动点 three-step iterations with an error member asymphtotically quasi-nonexpansive mapping fixed point

分类号 O177.91 [理学—基础数学]

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1周和月,陈东青,周海云.度量空间中广义渐进非扩张映射Ishikawa迭代的收敛性问题[J].华北电力大学学报（自然科学版）,2006,33(4):110-112.
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河北大学学报（自然科学版）

2005年第4期

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Banach空间中带误差的渐进准非扩张映射迭代序列的不动点问题

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