| m—增生非线性算子方程的迭代方法 |
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| 引用本文： | 邓磊,雷鸣.m—增生非线性算子方程的迭代方法[J].西南师范大学学报(自然科学版),1997,22(3):223-227. |
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| 作者姓名： | 邓磊 雷鸣 |
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| 作者单位： | 西南师范大学数学系(邓磊)，重庆钢铁高等专科学校(雷鸣) |
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| 摘 要： | 设Ｘ是ｐ一致凸和一致光滑的Ｂａｎａｃｈ空间，Ｔ：Ｄ（Ｔ）→Ｘ是Ｌｉｐｓｃｈｉｔｚ的ｍ增生算子，其中Ｔ的定义域Ｄ（Ｔ）是Ｘ的闭真子集，文中研究了逼近非线性方程ｘ＋Ｔｘ＝ｆ解的方法，其结果扩展了几个已知的结论
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| 关 键 词： | p一致凸Banach空间 一致光滑Banach空间 m增生算子方程 迭代过程 |
Iteration methods for nonlinear operator equations of the m accretive type |
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| Deng,Lei.Iteration methods for nonlinear operator equations of the m accretive type[J].Journal of Southwest China Normal University(Natural Science),1997,22(3):223-227. |
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| Authors: | Deng Lei |
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| Abstract: | Let X be a real Banach space which is both p uniformly convex and uniformly smooth, T:D(T)X be a Lipschitzian m accretive operator. Under the natural setting that the domain of T , D(T) is a proper subset of X ,method of approximating a solution of the equation x Tx=f is studied. The results extend several known results. |
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| Keywords: | p uniformly convex Banach space uniformly smooth Banach space m accretive operator equation iteration method |
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