摘要
引入并研究一类新的一族渐近φ_i-型拟伪压缩映象和新的多步平行迭代算法,在没有任何有界的条件下,在实赋范线性空间中建立了h-有限族一致Lipschitz映象公共不动点的多步平行迭代算法的强收敛定理,从而改进和推广了近期的一些结果.
The purpose of this paper is to introduce and study a new class of asymp- totically φi-type quasi-pseudo-contractive mappings and multi-step parallel iterative algorithms. Strong convergence theorem of multi-step parallel iterative algorithm of common fixed point for h-finite families of uniformly Lipschitz mappings in real normed linear spaces is established without any bounded condition, which improves and extends some existing results.
出处
《系统科学与数学》
CSCD
北大核心
2013年第10期1233-1242,共10页
Journal of Systems Science and Mathematical Sciences
关键词
一族渐近妒
一型拟伪压缩映象
h-有限族一致Lipschitz映象
公共不动点
多步平
行迭代算法
A family of asymptotically φi-type quasi pseudocontractive mappings,h-finite families of uniformly Lipschitz mappings, common fixed point, multi-stepparallel iterative algorithms.
