Iterative Scheme for Split Variational Inclusion and a Fixed-Point Problem of a Finite Collection of Nonexpansive Mappings

M. Dilshad, A. F. Aljohani, M. Akram, Mohammad Mursaleen
2020 Journal of Function Spaces  
This article is aimed at introducing an iterative scheme to approximate the common solution of split variational inclusion and a fixed-point problem of a finite collection of nonexpansive mappings. It is proven that under some suitable assumptions, the sequences achieved by the proposed iterative scheme converge strongly to a common element of the solution sets of these problems. Some consequences of the main theorem are also given. Finally, the convergence analysis of the sequences achieved
more » ... quences achieved from the iterative scheme is illustrated with the help of a numerical example.
doi:10.1155/2020/3567648 fatcat:jdmpjbsxnvg63iagpz2lfcsxva