两族渐进非扩张映射隐迭代序列收敛定理

基金项目:

江苏省研究生培养创新工程;苏州科技学院研究生科研创新计划

详细信息

CONVERGENCE THEOREMS FOR AN IMPLICIT ITERATION PROCESS OF TWO FINITE FAMILIES OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

摘要: 研究一致凸Banach空间中两族渐进非扩张映射的公共不动点逼近问题.构造关于两族渐进非扩张映射的隐迭代序列，并在适当条件下，证明了该序列收敛到公共不动点的一些强弱收敛定理，改进和推广了一些相关文献的结果.
- 一致凸Banach空间 /
- 渐进非扩张映射 /
- 隐迭代序列 /
- 公共不动点
Abstract: The common fixed points of two finite families of asymptotically non-expansive mappings are studied in real uniformly convex Banach spaces. An implicit iteration process defined by two finite families of asymptotically non-expansive mappings is introduced， and some strong and weak convergence theorems to a common fixed point for this scheme are proved. The results presented in this paper improve and extend some recent literature results.
- uniformly convex Banach space /
- asymptotically nonexpansive mapping /
- implicit iterative sequence /
- common fixed point