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q-一致光滑Banach空间中严格伪压缩映射的Mann型粘滞逼近法

The Mann-type viscosity approximation method for strict pseudo-contractions in q-uniformly smooth Banach spaces
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摘要 在实q-一致光滑的Banach空间中根据Mann-型粘滞逼近法,引入了一迭代格式来寻求一族严格伪压缩映射的公共不动点;该公共不动点还是某一变分不等式的解.结果改进与推广了先前与最近文献中的相应结果. We introduce an iterative scheme by the Mann-type viscosity approximation method for finding a common fixed point of a finite family of strictly pseudo-contractive mappings, which solves some variational inequality in a real q-uniformly smooth Ba- nach space. The results improve and extend the corresponding results in the previous and recent literature.
作者 杨秋菊 曾六川
机构地区 上海师范大学数理学院
出处 《上海师范大学学报（自然科学版）》 2012年第6期551-558,共8页 Journal of Shanghai Normal University(Natural Sciences)
基金 国家自然科学基金(11071169)
关键词 不动点 q-一致光滑 严格伪压缩 粘滞逼近 变分不等式 fixed point q-uniformly smooth strictly pseudo-contractive viscosity approximation variational inequality
分类号 O177.91 [理学—基础数学]
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参考文献11

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二级参考文献13

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共引文献6

上海师范大学学报（自然科学版）
2012年 第6期

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