| | | | | 渐近拟非扩张型映象的Ishikawa迭代序列的强收敛性 | | | 冯先智 | | | 通过引入一新型条件,研究了渐近拟非扩张型映象不动点的具误差的修正的Ish ikaw a迭代序列的迭代逼近问题,得到新的结果.
【作者单位】：台州学院数学系 浙江台州317000
【关键词】：渐近拟非扩张型映象;渐近非扩张型映象;具误差的修正的Ishikawa迭代序列;不动点
【基金】：浙江省自然科学基金资助项目(102002);浙江省教育厅科研项目20060074
【分类号】：O177.91
【DOI】：CNKI:ISSN:1008-5513.0.2006-04-008
【正文快照】：
1引言及主要结果设D是实Banach空间E的非空子集,T:D→D是一映象,F(T)表示T在D的不动点集.称T为渐近非扩张的[1],如果存在数列{Kn}[1,+∞),limn→∞kn=1,使得对任意的x,y∈D,n≥1,有‖Tnx-Tny‖≤Kn‖x-y‖;称T为渐近非扩张型的[2],如果对任意的y∈D,limn→∞sup supx∈D‖Tnx-Tny‖2-‖x-y‖2≤0成立;称T为渐近拟非扩张型的,如果F(T)≠且对任意的q∈F(T)有limn→∞sup supx∈D‖Tnx-q‖2-‖x-q‖2≤0.由定义知,在F(T)≠时,渐近非扩张映象、渐近非扩张型映象都是特殊的渐近拟非扩张型映象.定义1设D是E的非空闭凸子集,T:D→D是… | | |  推荐 CAJ下载  PDF下载 | | | CAJViewer7.0阅读器支持所有CNKI文件格式，AdobeReader仅支持PDF格式 | | | | The strong convergence of Ishikawa iterative sequences for asymptotically quasi-nonexpansive type mappings | | | FENG Xian-zhi(Department of Mathematics;Taizhou University;Taizhou 317000;China) | | | Studying the iterative approximation problem modified Ishikawa sequence with errors of fixed points for asymptotically quasi-nonexpansive type mappings under some new conditions.Some new results are obtained.
【Keyword】：asymptotically quasi-nonexpansive type mapping,asymptotically nonexpansive type mapping,modified Ishikawa iterative sequence with errors,fixed point |
| | | | | | 1 | Xu H. K; Inequalities in Banach spaces with applications, Nonlinear Anal [M];TMA; 1991年 | | 2 | Bose S. C; Weak convergence to the fixed point of an asymptotically nonexpansive map, Proc [M];Amer. Math.Soc; 1978年 | | 3 | Goebel K, Kirk W A; A Fixed Point Theorem for Asymptoticaly Nonexpansive Mappings [M];Proc,Amer . Math. Soc; 1972年 | | 4 | Goebel K, Kirk W A; A fixed point theorem for asymptoticaly nonexpansive mappings [M];Proc. Amer. Math. Soc; 1972年 | | 5 | CHANG shih-sen. Cho Y J, Jung J S, etal; Iterative approximation of fixed point and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces [M];J. Math Anal Appl; 1998年 | | 6 | Xu H K; Existence and convergence for fixed points of mappings of asymptotically nonexpansive type [M];Nonlinear Anal.TMA; 1991年 | | 7 | Xu H k; Inequalities in Banach spaces with applications [M];Nonlinear Anal. TMA; 1991年 | | 8 | CHANG shih-sen, Cho Y J, Jung J S, et al; Iterative approximation of fixed point and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces [M];J. Math. Anal. Appl; 1998年 | | 9 | Xu H K; Inequalities in Banach spaces With applications [M];Nonlinear Anal TMA; 1991年 | | 10 | Xu H. K; Existence and convergence for fixed points of mappings of asymptotically nonexpansive type,Nonlinear Anal [M];TMA; 1991年 |
|
|
|
