Convergence Analysis of Parallel S-Iteration Process for System of Generalized Variational Inequalities. (12th October 2017)

• Record Type: Journal Article
• Authors: Sahu, D. R.; Kang, Shin Min; Kumar, Ajeet
• Other Names: Suzuki Tomonari Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2017(2017)
• Publication Date: 2017-10-12
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2017/5847096
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We consider a new system of generalized variational inequalities (SGVI) defined on two closed convex subsets of a real Hilbert space. To find the solution of considered SGVI, a parallel Mann iteration process and a parallel S -iteration process have been proposed and the strong convergence of the sequences generated by these parallel iteration processes is discussed. Numerical example illustrates that the proposed parallel S -iteration process has an advantage over parallel Mann iteration process in computing altering points of some mappings.