Iterative Scheme for Split Variational Inclusion and a Fixed-Point Problem of a Finite Collection of Nonexpansive Mappings. (9th October 2020)

• Record Type: Journal Article
• Authors: Dilshad, M.; Aljohani, A. F.; Akram, M.
• Other Names: Mursaleen Mohammad Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-10-09
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/3567648
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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 from the iterative scheme is illustrated with the help of a numerical example.