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Banach空间中H-η-单调算子的变分包含混合逼近点算法

A hybrid proximal point algorithm variational inclusions involving H-η-monotone operators in Banach spaces
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摘要 推广了Verma的关于Banach空间中变分包含的混合逼近点算法,它和在Hilbert空间中的结论不同,这样关于变分包含的研究就可以应用到Lp,Wm,p(Ω)空间中,其中p>1. Verma's results on the hybrid proximal point algorithm of variational inclusions to Banach spaces will be extented. It is differ from the other papers on the restriction which the space X is Hilbert space. Thus our research on the variational inclusions can be applied to spaces Lp ,Wm,p ,where p〉l.
作者 王娴 佟慧
出处 《河北大学学报(自然科学版)》 CAS 北大核心 2014年第3期234-237,共4页 Journal of Hebei University(Natural Science Edition)
基金 河北省自然科学基金资助项目(A2010000191 A2010000188 A2014201166) 保定市科学技术研究与发展指导计划项目(12ZJ001)
关键词 q-一致光滑空间 H-η-单调算子 预解算子 变分包含 混合逼近点 q- uniformly smooth space H-η- monotone operator resolvent operator variational inclu-sion hybrid proximal point
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参考文献11

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