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一类集值增生算子方程解的Ishikawa迭代程序

An Ishikawa Iterative Process for Operator Equation Involving Set-valued Accretive Mapping
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摘要 研究了一种Ishikawa迭代程序,在Banach空间中运用这种Ishikawa迭代程序研究了一类集值增生算子方程的近似解问题,该工作推广和改进了Noor[1]的相关结果. In this paper, an Ishikawa iterative process is introduced and studied. The process solved the problem of class of operator equation involving set-valued accretive mapping in Banach space. The results presented improved and extented the relative results of Noor[1].
作者 贡玉军 何中全
机构地区 西华师范大学数学与信息学院
出处 《阜阳师范学院学报（自然科学版）》 2008年第1期32-35,共4页 Journal of Fuyang Normal University(Natural Science)
基金 四川省高等教育改革工程人才培养质量和教学改革项目资助[2005]198
关键词 强增生集值映象 BANACH空间 强伪压缩映象 ISHIKAWA迭代 不动点 strongly accretive banach space ishikawa iterative strongly psuedocontractive mapping fixed point.
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献12

  • 1[1]Muhammad Aslam Noor,Themistocles M.Rassias,Three-step iteration for nonlinear accretive operator equations[J].Math.Anal Appl.274(2002):59-68.
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  • 3[3]Nan Jing Huang.Ishikawa and Mann Iterative Processes with Errors for Set-Valued Strongly Accretive and -Hemicontractive Mappings[J].Mathematical and Computer Modelling,2000.
  • 4周绍智.集值单调型算子的Mann迭代程序[J].高师理科学刊,2003,23(1):4-6. 被引量：1
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  • 7薛志群,胡雁玲.Mann迭代序列收敛的充要条件[J].河北轻化工学院学报,1997,18(4):20-23. 被引量：2
  • 8[8]Chang S S,Tan K K.Iteration processes for approximating fixed point of operator of monotone type[J].Bull Austral Math Soc,1998,57:443-445.
  • 9吴定平.Banach空间中非扩张映象的几个收敛定理[J].宜宾学院学报,2006,6(6):1-3. 被引量：2
  • 10宋义生,沈熙林,陈汝栋.集值非扩张映象不动点迭代收敛性[J].纺织高校基础科学学报,2005,18(1):23-25. 被引量：2

二级参考文献17

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共引文献5

阜阳师范学院学报（自然科学版）
2008年 第1期

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