An iterative algorithm with applications for solving variational inclusion problems and nonexpansive mappings



	An iterative algorithm with applications for solving variational inclusion problems and nonexpansive mappings


	Fixed Point Theory, Volume 24, No. 2, 2023, 627-640, June 15th, 2023 DOI: 10.24193/fpt-ro.2023.2.11 Authors: A. Latif, A.E. Al-Mazrooei, X. Qin Abstract: In this paper, a viscosity splitting iterative algorithm with perturbation is introduced for solving an inclusion problem with two accretive operators and a fixed point problem of an infinite family of nonexpansive mappings. Strong convergence of the iterative algorithm is obtained in a Banach space. A convex minimization problem is also considered in Hilbert spaces as an applications. Key Words and Phrases: Banach space, nonexpansive mapping, splitting method, variational inequality, variational inclusion, fixed point. 2010 Mathematics Subject Classification: 47H05, 47H09, 47H10, 65K15, 90C25. Published on-line: June 15th, 2023. Fulltext pdf Back to volume's table of contents