A MODIFIED SHRINKING PROJECTION METHODS FOR NUMERICAL RECKONING FIXED POINTS OF G-NONEXPANSIVE MAPPINGS IN HILBERT SPACES WITH GRAPHS

被引：20

作者：

Hammad, H. A. ^{[1
]}

Cholamjiak, W. ^{[2
]}

Yambangwai, D. ^{[2
]}

Dutta, H. ^{[3
]}

机构：

[1] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt

[2] Univ Phayao, Sch Sci, Dept Math, Phayao 56000, Thailand

[3] Gauhati Univ, Fac Sci, Dept Math, Gauhati 781014, India

来源：

MISKOLC MATHEMATICAL NOTES | 2019年 / 20卷 / 02期

关键词：

strong convergence; shrinking projection; G-nonexpansive mappings; modified iterations; numerical discussion; STRONG-CONVERGENCE THEOREMS; ITERATIVE CONSTRUCTION; HYBRID METHODS; CONTRACTIONS;

D O I：

10.18514/MMN.2019.2954

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce four new iterative schemes by modifying the shrinking projection method with Ishikawa iteration and S-iteration. The strong convergence theorems are given for obtaining a common fixed point of two G-nonexpansive mappings in a Hilbert space with a directed graph. We also give some numerical experiments for supporting our main theorems and compare convergence rate between them.

引用

页码：941 / 956

页数：16

共 25 条

[1]

Agarwal RP, 2007, J NONLINEAR CONVEX A, V8, P61

[2]

Agarwal RP, 2009, TOPOL FIXED POINT TH, V6, P1, DOI 10.1007/978-0-387-75818-3_1

[3] Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph [J].