Convergence analysis of the shrinking approximants for fixed point problem and generalized split common null point problem

被引：0
作者：
Yasir Arfat
Olaniyi S. Iyiola
Muhammad Aqeel Ahmad Khan
Poom Kumam
Wiyada Kumam
Kanokwan Sitthithakerngkiet
机构：
[1] King Mongkut’s University of Technology Thonburi (KMUTT),KMUTT Fixed Point Research Laboratory, KMUTT
[2] Clarkson University,Fixed Point Theory and Applications Research Group, Department of Mathematics, Faculty of Science
[3] COMSATS University Islamabad,Department of Mathematics
[4] King Mongkut’s University of Technology Thonburi (KMUTT),Department of Mathematics
[5] China Medical University,Center of Excellence in Theoretical and Computational Science (TaCS
[6] Rajamangala University of Technology Thanyaburi (RMUTT),CoE) and KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Fachulity of Science
[7] King Mongkut’s University of Technology North Bangkok (KMUTNB),Department of Medical Research, China Medical University Hospital
来源：
Journal of Inequalities and Applications | / 2022卷
关键词：
Shrinking approximants; Strong convergence; Fixed point problem; Demimetric operator; Generalized null point problem; 47H05; 47H10; 47J25; 49M30; 54H25;
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摘要：
In this paper, we compute a common solution of the fixed point problem (FPP) and the generalized split common null point problem (GSCNPP) via the inertial hybrid shrinking approximants in Hilbert spaces. We show that the approximants can be easily adapted to various extensively analyzed theoretical problems in this framework. Finally, we furnish a numerical experiment to analyze the viability of the approximants in comparison with the results presented in (Reich and Tuyen in Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 114:180, 2020).
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