有限个增生算子族隐迭代过程的收敛性

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英文题名：The Convergence of Implicit Iteration Process for a Finite Family of Accretive Mappings 作者：赵彦利 论文级别：硕士 学科专业名称：基础数学 中文关键词：Φ-强增生映象 ; 强伪压缩映象 ; 强增生算子 ; 一致Lipschiz ; 隐式迭代序列 英文关键词：Φ-strongly accretive mappings ; strongly pseudo-contractive mappings ; strongly accretive mappings ; uniformly Lipschitz implicit iteration sequence 学位年度：2004 导师：何震 学科代码：070101 学位授予单位：河北大学

摘要

在一般Banach空间中研究了针对非扩张映象导出增生型算子的隐迭代过程。我们的结果改进了H-K. Xu的结果,把条件从严格伪压缩映射推广到了增生型算子,讨论了不带误差和带误差两种情形,并证明了他们的收敛性定理,所以我们的结果改进和推广了参考文献中的相应结果。
In arbitrary Banach spaces implicit iteration processes for a finite family of accretive mappings are studied. Our results improve the main results of H-K.Xu. We discussed two iteration methods and prove convergence theorems. Relevant results of reference literature are improved and extended.

引文

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