| 渐近非扩张映象不动点的三重迭代法 |
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| 引用本文： | 张文良,张玉敏,何震. 渐近非扩张映象不动点的三重迭代法[J]. 数学的实践与认识, 2010, 40(6) |
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| 作者姓名： | 张文良 张玉敏 何震 |
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| 作者单位： | 1. 河北金融学院,基础部,河北,保定,071051
2. 河北大学,数学与计算机学院,河北,保定,071002 |
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| 基金项目： | 教育部科学技术研究重点支持项目(207014); 河北省自然科学基金(A2006000941) |
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| 摘 要： | 利用赋范线性空间X的凸性模定义,以及凸性模的单调性及半紧性条件研究了渐近非扩张映射T:D→D不动点的三步迭代法.主要结果将过去一些学者研究的二步迭代推广到三步迭代,并减弱了许多条件.从而推广了同类问题的某些结果.
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| 关 键 词： | 一致凸Banach空间 三步迭代法 凸性模 渐近非扩张映射 半紧性 |
Three-steps Iterations Method of Fixed Point for Asymptotically Nonexpansive Mappings |
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| ZHANG Wen-liang,ZHANG Yu-min,HE Zhen. Three-steps Iterations Method of Fixed Point for Asymptotically Nonexpansive Mappings[J]. Mathematics in Practice and Theory, 2010, 40(6) |
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| Authors: | ZHANG Wen-liang ZHANG Yu-min HE Zhen |
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| Affiliation: | ZHANG Wen-liang~1,ZHANG Yu-min~1,HE Zhen~2 (1.Basic Department,Hebei College of Finance,Baoding 071051,China) (2.College of Mathematics , computer,Hebei University,Baoding 071002,China) |
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| Abstract: | In this paper using the definition and property of the convex modulus of norm linear spaceX,and conditions of semi-compactness,we discussed three-steps iterations method of fixed point for asymptotically nonexpansive mappings T:D→D.The main results generalized from two-steps iterations to three-steps iterations for formerly some results and weaken more conditions.Thus some similar conclusion have been obtained. |
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| Keywords: | uniformly convex banach spaces three-steps iterations the convex modulus of norm linear space asymptotically nonexpansive mappings semi-compactness. |
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