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.

引用

页数：16

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