title: An iterative algorithm for a system of generalized implicit variational inclusions.
abstract: In this paper, we introduce a system of generalized implicit variational inclusions which consists of three variational inclusions. We design an iterative algorithm with error terms based on relaxed resolvent operator due to Ahmad et al. (Stat Optim Inf Comput 4:183-193, 2016) for approximating the solution of our system. The convergence of the iterative sequences generated by the iterative algorithm is also discussed. An example is given which satisfy all the conditions of our main result.
authors.affiliation: Department of Mathematics, Aligarh Muslim University, Aligarh, 202002 India.
authors.forename: Iqbal
authors.initials: I
authors.lastname: Ahmad
authors.affiliation: Applied Mathematics and Humanties Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat, 395 007 India.
authors.forename: Vishnu Narayan
authors.initials: VN
authors.lastname: Mishra
authors.affiliation: Department of Mathematics, Aligarh Muslim University, Aligarh, 202002 India.
authors.forename: Rais
authors.initials: R
authors.lastname: Ahmad
authors.affiliation: Department of Mathematics, Aligarh Muslim University, Aligarh, 202002 India.
authors.forename: Mijanur
authors.initials: M
authors.lastname: Rahaman
keywords: Algorithm; Convergence; Relaxed; Resolvent; Solution; System