| 含k-次增生算子的方程解的迭代逼近与稳定性 |
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| 引用本文： | 胡洪萍. 含k-次增生算子的方程解的迭代逼近与稳定性[J]. 纺织高校基础科学学报, 2008, 21(3): 320-323 |
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| 作者姓名： | 胡洪萍 |
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| 作者单位： | 西安文理学院,数学系,陕西,西安,710065 |
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| 基金项目： | 西安文理学院校科研和教改项目 |
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| 摘 要： | 在一般Banach空间中,使用迭代的方法,研究含k-次增生算子非线性方程解的逼近问题.建立了具有误差的Ishikawa迭代序列强收敛到解的一般性定理,并讨论了迭代过程的稳定性.结果不仅本质地改进和拓广了有关文献的相关结果,而且用k-次增生算子代替增生算子,使结果更具一般性.
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| 关 键 词： | k-次增生算子 带混合误差的Ishikawa迭代序列 稳定性 非线性方程 BANACH空间 |
Iterative approximation & stability for solutions of the equations involving k-subaccretive operators |
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| HU Hong-ping. Iterative approximation & stability for solutions of the equations involving k-subaccretive operators[J]. Basic Sciences Journal of Textile Universities, 2008, 21(3): 320-323 |
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| Authors: | HU Hong-ping |
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| Affiliation: | HU Hong-ping (Department of Mathematics, Xi＇an University of Arts and Science, Xi＇an 710065, China) |
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| Abstract: | The iterative method was used for studying the approximation problem of solutions for k-accretive operator equations in general Banach spaces. A general theorem was established about the Ishikawa iterative sequence with errors which strongly convergence to solutions and the stability of the iterative process was discussed. Relevant results of reference literature were improved and extended, and the more general results were obtained by using the k-subaccretive operator to replace the subaccretive operator. |
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| Keywords: | k-subaccretive operator Ishikawa iterative sequence with errors stability nonlinear equations banach space |
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