Convergence of some iterative algorithms for system of generalized set-valued variational inequalities
type: Item
instance of: scholarly article
title: Convergence of some iterative algorithms for system of generalized set-valued variational inequalities
zbMATH Open document ID: 1489.47087
DOI: 10.1155/2021/6674349
author: Yanyan Li
published in: Journal of Function Spaces
publication date: 2021-08-25T00:00:00Z
review text: Summary: In this article, we consider and study a system of generalized set-valued variational inequalities involving relaxed cocoercive mappings in Hilbert spaces. Using the projection method and Banach contraction principle, we prove the existence of a solution for the considered problem. Further, we propose an iterative algorithm and discuss its convergence. Moreover, we establish equivalence between the system of variational inequalities and altering points problem. Some parallel iterative algorithms are proposed, and the strong convergence of the sequences generated by these iterative algorithms is discussed. Finally, a numerical example is constructed to illustrate the convergence analysis of the proposed parallel iterative algorithms.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 7385288
zbMATH Keywords: relaxed cocoercive mappings
zbMATH Keywords: Hilbert spaces
zbMATH Keywords: projection method
zbMATH Keywords: variational inequalities
zbMATH Keywords: altering points problem
zbMATH Keywords: parallel iterative algorithms
zbMATH Keywords: strong convergence
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6674349
OpenAlex ID: W3118377216
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description: scientific article; zbMATH DE number 7385288