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q一致光滑Banach空间中带误差项的Mann迭代过程
Mann Iteration Process with Errors in q-uniformly Smooth Banach Spaces
【摘要】 在q一致光滑实Banach空间中,给出了一类非Lipschitz,非值域有界的Φ-强增生算子带误差项Mann迭代序列的收敛定理,该结果概括了目前一些相关结果。
【Abstract】 In q-uniformly smooth Banach spaces,by using new analysis techniques,some convergence theorems are proved of Mann iteration process with errors for Φ-strongly accretive mapping and Φ-strongly pseudocontractive mapping.These results extend and generalize some recent corresponding results at present.
【关键词】 q一致光滑空间;
Φ-强增生映射;
Φ-强伪压缩映射;
带误差项的Mann迭代序列;
【Key words】 q-uniformly smooth Banach spaces; Φ-strongly accretive mapping; Φ-strongly pseudocontractive mapping; Mann iteration process with errors;
【Key words】 q-uniformly smooth Banach spaces; Φ-strongly accretive mapping; Φ-strongly pseudocontractive mapping; Mann iteration process with errors;
【基金】 国家自然科学基金资助项目(19971068);石家庄铁道学院专项科研基金资助项目(Q33)
- 【文献出处】 石家庄铁道学院学报 ,Journal of Shijiazhuang Railway Institute , 编辑部邮箱 ,2006年03期
- 【分类号】O177.2
- 【下载频次】18