Convergence of AA-Iterative Algorithm for Generalized α-Nonexpansive Mappings with an Application

被引：4
|
作者：
Beg, Ismat [1 ]
Abbas, Mujahid [2 ,3 ]
Asghar, Muhammad Waseem [2 ]
机构：
[1] Lahore Sch Econ, Dept Math & Stat Sci, Lahore 53200, Pakistan
[2] Govt Coll Univ, Dept Math, Lahore 54000, Pakistan
[3] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
来源：
MATHEMATICS | 2022年 / 10卷 / 22期
关键词：
AA-iteration; generalized alpha-nonexpansive mapping; fixed point; Banach space; APPROXIMATING FIXED-POINTS; THEOREMS; WEAK;
D O I：
10.3390/math10224375
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to approximate the fixed points of generalized alpha-nonexpansive mappings using AA-iterative algorithm. We establish some weak and strong convergence results for generalized alpha-nonexpansive mappings in uniformly convex Banach spaces. A numerical example is also given to show that the AA-iterative algorithm converges faster than some others algorithms for generalized alpha-nonexpansive mappings. Lastly, using the AA-iterative algorithm, we approximate the weak solution of delay composite functional differential equation of the Volterra-Stieltjes type.
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页数：16
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