| 一类广义Lipschitz非线性算子的带误差的Ishikawa迭代程序 |
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| 引用本文： | 倪仁兴.一类广义Lipschitz非线性算子的带误差的Ishikawa迭代程序[J].数学学报,2001,44(4):701-712. |
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| 作者姓名： | 倪仁兴 |
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| 作者单位： | 绍兴文理学院数学系 |
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| 基金项目： | 国家自然科学基金资助项目(19971013);浙江省自然科学基金资助项目 |
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| 摘 要： | 借助于周海云和陈东青［４］新近引入的广义Ｌｉｐｓｃｈｉｔｚ概念，研究了实Ｂａｎａｃｈ空间中广义Ｌｉｐｓｃｈｉｔｚ －强伪压缩算子的不动点和广义Ｌｉｐｓｃｈｉｔｚ －强增算子方程解的迭代逼近问题，所得结果改进和扩展了近期许多相关的结果，并部分地回答了周海云［３］提出的一个问题．
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| 关 键 词： | 广义Lipschitz条件 φ-强伪压缩算子 φ-强增生算子 带误差的Ishikawa迭代程序 |
| 文章编号： | 0583-1431(2001)04-0701-12 |
| 修稿时间： | 1999年5月12日 |
Ishikawa Iteration Procedures with Errors for Certain Generalized Lipschitzian Nonlinear Operators |
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| NI Ren Xing.Ishikawa Iteration Procedures with Errors for Certain Generalized Lipschitzian Nonlinear Operators[J].Acta Mathematica Sinica,2001,44(4):701-712. |
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| Authors: | NI Ren Xing |
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| Institution: | NI Ren Xing (Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing 312000, P. R. China) |
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| Abstract: | In the present paper, by virtue of a concept of generalized Lipschitzian map- ping introduced by Zhou and Chen4], we discuss problem of iterative approximation of fixed points for generalized Lipschitzian - strong pseudo-contractive mappings and of solutions of the equation for generalized Lipschitzian - strongly accretive operators in real Banach spaces. Our results improve and extend the recent corresponding resullts,and answer partly the open problem pat forward by Zhou3]. |
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| Keywords: | Generalized Lipschitz condition -strong pseudo-contractive mapping strongly accretive operator Ishikawa iteration procedures with errors |
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