Resolvent operator technique for generalized implicit variational-like inclusion in Banach space

Resolvent operator technique for generalized implicit variational-like inclusion in Banach space
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Banach空间中广义隐式变分包含的求解算子技术

DOI:
10.1016/j.jmaa.2006.01.090
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发表时间:
2010-01
期刊:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS(SCI)
影响因子:
--
通讯作者:
Xie-ping Ding
Xie-ping Ding
中科院分区:
其他
文献类型:
--
作者:
Cao-zong Cheng;Qing-bang Zhang;Xie-ping Ding

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在Banach空间中引入并研究了一类新的g-η-增生映射.利用g-η-增生映射的性质,推广了与经典m-增生算子相关的预解算子的概念.并在Banach空间中建立了一类新的含g-η-增生映象的广义隐似变分包含的迭代算法及其收敛性结果.
A new class of g-η-accretive mappings is introduced and studied in Banach space. By using the properties of g-η-accretive mappings, the concept of resolvent operators associated with the classical m-accretive operators is extended. And an iterative algorithm for a new class of generalized implicit variational-like inclusion involving g-η-accretive mappings and its convergence results are established in Banach space.
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