Open AccessGeneralized system of relaxed cocoercive variational inequalities governed by nonexpansive mappings
Author(s) -
Sanjeev Gupta
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1116/1/012149
Subject(s) - variational inequality , convergence (economics) , mathematics , projection (relational algebra) , fixed point , nonlinear system , iterative method , point (geometry) , mathematical optimization , mathematical analysis , algorithm , physics , geometry , quantum mechanics , economics , economic growth
The objective of this paper is to study the generalized systems of relaxed cocoercive variational inequalities associated with six nonlinear operators. We proposed three steps explicit iterative methods involving projection operators and give the equivalent fixed point problem of the generalized systems of relaxed cocoercive variational inequalities. This fixed point problem suggests to us the three steps explicit iterative algorithms to obtain an approximate solution of the system under consideration. Strong convergence results are obtained.