| 朱兰萍,李刚.一般Banach空间中非Lipschitzian可逆半群的不动点定理[J].数学年刊A辑,2009,30(5):579~586 |
| 一般Banach空间中非Lipschitzian可逆半群的不动点定理 |
| Fixed Point Theorems for Reversible Semigroups of Non-Lipschitzian Mappings in General Banach Spaces |
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| DOI： |
| 中文关键词: 不动点 渐近非扩张型映射 左可逆半群 |
| 英文关键词:Fixed point, Asymptotically nonexpansive type mapping, Left
reversible semigroup |
| 基金项目:国家自然科学基金，江苏省教育厅高校自然科学研究基金(No.07KJB110131)资助的项目 |
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| 中文摘要: |
| 首先在一般Banach空间中对渐近非扩张型左可逆半群给出了两个不动点存在性定理.同时利用这些结果,得到了渐近非扩张型左可逆半群迭代序列的强收敛定理.主要结果将一些已知结果推广至非Lipschitzian左可逆半群的情形,而且即使在交换半群情形它们也是新的. |
| 英文摘要: |
| This paper first provides two existence theorems of fixed points for left reversible
semigroups of asymptotically nonexpansive type mappings in general Banach spaces. Using
these results, the authors also obtain a strong convergence theorem of iterative sequences
for left reversible semigroups of asymptotically nonexpansive type mappings. The results
extend some known results to the case of the left reversible semigroups of non-Lipschitzian
mappings and they are new even in the case of commutative semigroups. |
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