On a system of monotone variational inclusion problems with fixed-point constraint

• Published in: Journal of inequalities and applications Vol. 2022; no. 1; pp. 1 - 30
• Main Authors: Alakoya, Timilehin O., Uzor, Victor A., Mewomo, Oluwatosin T., Yao, Jen-Chih
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 27.04.2022; Springer Nature B.V; SpringerOpen
• Subjects: Algorithms; Analysis; Applications of Mathematics; Control theory; Data compression; Fixed-point problem; Hilbert space; Inertial technique; Inverse problems; Iterative methods; Mathematics; Mathematics and Statistics; Medical research; Optimization; Quasipseudocontractions; Radiation therapy; Self-adaptive step size; Signal processing; System of monotone variational inclusion problems; Self-adaptive step size; 65K15; Fixed-point problem; System of monotone variational inclusion problems; 90C33; Quasipseudocontractions; Inertial technique; 47J25; 65J15

In this paper, we study the problem of finding the solution of the system of monotone variational inclusion problems recently introduced by Chang et al. (Optimization 70(12):2511–2525, 2020 ) with the constraint of a fixed-point set of quasipseudocontractive mappings. We propose a new iterative meth...