COMMON FIXED POINTS OF MODIFIED PICARD-S ITERATION PROCESS INVOLVING TWO G-NONEXPANSIVE MAPPINGS IN CAT(0) SPACE WITH DIRECTED GRAPH

被引:0
作者
Khatoon, Sabia [1 ]
Uddin, Izhar [1 ]
Pakkaranang, Nuttapol [2 ]
Wairojjana, Nopparat [3 ]
机构
[1] Jamia Millia Islamia, Dept Math, New Delhi 110025, India
[2] KMUTT, Fac Sci, Dept Math, 126 Pracha Uthit Rd Bang Mod, Bangkok 10140, Thailand
[3] Valaya Alongkorn Rajabhat Univ Royal Patronage VR, Fac Sci & Technol, Appl Math Program, 1 Moo 20 Phaholyothin Rd, Klongluang 13180, Pathumthani, Thailand
来源
THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 01期
关键词
G-nonexpansive mapping; Delta-convergence and strong convergence; common fixed point; CAT(0) space; directed graph; CONVERGENCE THEOREMS; METRIC SPACE; MINIMIZATION; SCHEMES; WEAK;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this paper is to bring and study the convergence behaviour of modified Picard-S iteration involving two G-nonexpansive mappings in CAT(0) space with directed graph. We prove Delta and strong convergence theorems for modified Picard-S iteration process in CAT(0) space with a directed graph. We also construct a numerical example to validate our results and to ensure the better rate of convergence of the proposed method with modified Ishikawa iteration, modified S-iteration and Thianwan's new iteration.
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页码:1 / 13
页数:13
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