On the Iterative Approximation Problem of Fixed Points for Asymptotically Nonexpansive Type Mappings in Banach Spaces
-
摘要: 研究了Banach空间中渐近非扩张型映象不动点的迭代逼近问题。所得结果改进和发展了一些人的最新成果。
-
关键词:
- 渐近非扩张型映象 /
- 不动点 /
- 修改的具误差的Ishikawa迭代序列 /
- 修改的具误差的Mann迭代序列
Abstract: Some iterative approximation theorems of fixed points for asymptotically nonexpansive type mappings in Banach spaces are obtained. -
[1] Goebel K, Kirk W A. A fixed point theorem for a symptotically nonexpansive mappings[J]. Proc Amer Math Soc,1972,35(1):171-174. [2] Kirk W A. Fixed point theorems for non-Lipschitzian mappings of as ymptotically nonexpansive type[J]. Israel J Math,1974,11:339-346. [3] Xu H K. Inequalities in Banach spaces with applications[J]. Nonlinear Anal TMA,1991,16(12):1127-1138. [4] CHANG Shih-sen, Cho Y J, Jung J S, et al. Iterative approxi mation of fixed point and solutions for strongly accretive and strongly pseudo-contr active mappings in Banach spaces[J]. J Math Anal Appl,1998,224:149-165. [5] Xu H K. Existence an convergence for fixed points of mappings of a symptotically nonexpansive type[J]. Nonlinear Anal TMA,1991,16(12):1139-1146. [6] Liu Q H. Convergence theorems of the sequence of iterates for asymptotically demi-contractive and hemi-contractive mappings[J]. Nonlinear Anal TMA,1996,26(11):1835-1842. [7] Schu J. Iterative construction of fixed points of asymptoticallyn onexpansive mappings[J]. J Math Anal Appl,1991,158:407-413. [8] Zeng L C. A note on approximating fixed points of nonexpansive mapping by the Ishikawa iterative processes[J]. J Math Anal Appl,1998,226:245-250. [9] Kirk W A, Torrejon R. An asymptotically nonexpansive semigroup in Banach space[J]. Nonlinear Anal TMA,1979,1:111-121. [10] CHANG Shih-sen. On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces[J]. J Math Anal Appl,1997,216:94-111. [11] Reich S. Extension problems for accretive sets in Banach spaces[J]. J Func Anal,1997,26:378-395.
计量
- 文章访问数: 2311
- HTML全文浏览量: 148
- PDF下载量: 661
- 被引次数: 0