Iterative approximation of common fixed points of two nonself asymptotically nonexpansive mappings in CAT(0) spaces with numerical examples

被引：4

作者：

Kratuloek, Kanokwan ^{[1
]}

Kumam, Poom ^{[1
,2
,4
]}

Amnuaykarn, Kittisak ^{[1
]}

Nantadilok, Jamnian ^{[3
]}

Salisu, Sani ^{[1
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand

[2] China Med Univ Hosp, China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[3] Lampang Rajabhat Univ, Fac Sci, Dept Math, Lampang, Thailand

[4] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Dept Math, KMUTT Fixed Point Res Lab, Room SCL 802 Fixed Point Lab,Sci Lab Bldg,126 Prac, Bangkok 10140, Thailand

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 12期

关键词：

asymptotically nonexpansive mappings; Banach spaces; CAT(0) spaces; hyperpolic spaces; iteration; fixed points; retractions; uniformly L-Lipschitzian mappings; WEAK-CONVERGENCE THEOREMS; ERRORS;

D O I：

10.1002/mma.9269

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this manuscript, we investigate and approximate common fixed points of two nonself asymptotically nonexpansive mappings in the setting of CAT(0) spaces. We provide three examples and conduct numerical experiments to show the implementation of the approximation schemes. Our results extend and improve the related results in the literature.

引用

页码：13521 / 13539

页数：19

共 50 条

[1] Iterative Approximation of Common Fixed Points of Two Nonself Asymptotically Nonexpansive Mappings
Turkmen, Esref
Khan, Safeer Hussain
Ozdemir, Murat
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2011, 2011
[2] Approximation of fixed points of enriched asymptotically nonexpansive mappings in CAT(0) spaces
Abbas, Mujahid
Anjum, Rizwan
Ismail, Nimra
[J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (04) : 2409 - 2427
[3] Approximation of fixed points of enriched asymptotically nonexpansive mappings in CAT(0) spaces
Mujahid Abbas
Rizwan Anjum
Nimra Ismail
[J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 2409 - 2427
[4] Two-step iterative approximation of common fixed points of two nonself asymptotically quasi-nonexpansive mappings
Singh, Amit
Dimri, R. C.
Prajapati, Darshana J.
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (03)
[5] Approximation of common fixed points for finite families of nonself asymptotically nonexpansive mappings in Banach spaces
Chidume, C. E.
Ali, Bashir
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (02) : 960 - 973
[6] Approximating Fixed Points of Nonexpansive Nonself Mappings in CAT(0) Spaces
W Laowang
B Panyanak
[J]. Fixed Point Theory and Applications, 2010
[7] Approximating Fixed Points of Nonexpansive Nonself Mappings in CAT(0) Spaces
Laowang, W.
Panyanak, B.
[J]. FIXED POINT THEORY AND APPLICATIONS, 2010,
[8] New iterations for approximation of common fixed points of two asymptotically nonexpansive nonself-mappings
Thianwan S.
[J]. Lobachevskii Journal of Mathematics, 2009, 30 (1) : 89 - 95
[9] Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces
Fukhar-ud-din, Hafiz
Khan, Abdul Rahim
Hussain, Nawab
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 771 - 779
[10] CONVERGENCE THEOREMS FOR COMMON FIXED POINTS OF A SEQUENCE OF NONEXPANSIVE NONSELF MAPPINGS IN CAT(0) SPACES
Qian, Shanguang
Deng, Wei-Qi
[J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2017, 54 (01) : 1 - 12

← 1 2 3 4 5 →