Approximating Fixed Points of Generalized α-Nonexpansive Mappings in Banach Spaces
Approximating Fixed Points of Generalized α-Nonexpansive Mappings in Banach Spaces
复制标题
Banach 空间中广义 α-非扩张映射不动点的逼近
DOI：
10.1080/01630563.2016.1276075
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发表时间：
2017
影响因子：
1.2
通讯作者：
Rahul Shukla
中科院分区：
文献类型：
--
作者：
R. Pant;Rahul Shukla
摘要引入了一类新的非扩张映象，并得到了一些存在性和收敛性定理。这类新的非线性映射适当地包含非扩张、Suzuki型广义非扩张映射和部分扩张的强非扩张和α-非扩张映射。而且，这类映射不需要是连续的。文中列举了一些有用的例子来说明事实。一些突出的迭代过程进行了比较，使用数值计算。
ABSTRACT We introduce a new type of nonexpansive mappings and obtain a number of existence and convergence theorems. This new class of nonlinear mapping properly contains nonexpansive, Suzuki-type generalized nonexpansive mappings and partially extends firmly nonexpansive and α-nonexpansive mappings. Also, this class of mapping need not be continuous. Some useful examples are presented to illustrate facts. Some prominent iteration processes are also compared using numerical computations.