| p－一致平滑空间局部Lipschitz方程解的迭代逼近 |
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| 引用本文： | 柏传志. p－一致平滑空间局部Lipschitz方程解的迭代逼近[J]. 贵州师范大学学报(自然科学版), 1994, 12(4): 16-20 |
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| 作者姓名： | 柏传志 |
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| 摘 要： | 设Ｘ为ｐ－一致平滑的Ｂａｎａｃｈ空间，ｐ∈［１，２］，Ｔ：Ｄ（Ｔ）→Ｘ是局部Ｌｉｐｓｃｈｉｔｚ和严格增殖算子，本文给出了非线性方程ＴＸ＝Ｙ的解的迭代逼近，所得结果推广了文［１］的主要结果。
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| 关 键 词： | p－一致平滑空间，增殖性，局部Lipschitz算子，迭代逼近 |
ITERATIVE APPROXIMATION OF THE SOLUTION OF A LOCAL LIPSCHITZIAN EGUATION IN P-UNIFORM SMOOTH SPACE |
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| Abstract: | Suppose X is a p-uniform Smooth Banach space, p∈(1,2],T: D(T)→X is a local Lipschitzian and strict accretiye operator,in this paper,the iterative approximation of the solution of nonlinear equation Tx=gis given. this result is also the generalization of main results of the reference article 1. |
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| Keywords: | p-uniform smooth space Accretiyeness Local Lipschitzian operator Iterative approximation. |
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