A New Iterative Algorithm for General Variational Inequality Problem with Applications. (29th March 2022)

• Record Type: Journal Article
• Authors: Khan, Aysha; Akram, M.; Dilshad, M.; Shafi, J.
• Other Names: Taoudi Mohamed A. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-03-29
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/7618683
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This study aims at investigation of a generalized variational inequality problem. We initiate a new iterative algorithm and examine its convergence analysis. Using this newly proposed iterative method, we estimate the common solution of generalized variational inequality problem and fixed points of a nonexpansive mapping. A numerical example is illustrated to verify our existence result. Further, we demonstrate that the considered iterative algorithm converges with faster rate than normal S -iterative scheme. Furthermore, we apply our proposed iterative algorithm to estimate the solution of a convex minimization problem and a split feasibility problem.