Existence and approximation of fixed points of multivalued generalized α-nonexpansive mappings in Banach spaces

被引：0
|
作者：
Hira Iqbal
Mujahid Abbas
S. M. Husnine
机构：
[1] National University of Computer and Emerging Sciences,Department of Sciences and Humanities
[2] Government College University,Department of Mathematics
[3] China Medical University,Department of Medical Research
来源：
Numerical Algorithms | 2020年 / 85卷
关键词：
-Nonexpansive; Convergence theorem; Multivalued mapping; Iteration process; 47H10; 54H25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce multivalued generalized α-nonexpansive mappings and present a fixed point result. The multivalued version of the iteration process (Piri et al., Numerical Algorithms, 1–20, 2018) is proposed and some weak and strong convergence results in uniformly convex Banach space are established. Further, we also study the stability of the modified iteration process. Finally, we compare the rate of convergence of suggested multivalued version of iteration process with several known iteration processes through a numerical example.
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页码：1029 / 1049
页数：20
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