An iterative algorithm for a system of generalized quasi-variational inequalities

Author(s):

Sumeera Shafi *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, we introduce and study a system of generalized quasi-variational inequalities involving nonlinear, nonconvex and nondifferentiable terms in uniformly smooth Banach space. By means of the retraction mapping technique, we prove the existence of solutions for this system of quasi-variational inequalities. Further, we suggest an iterative algorithm for finding the approximate solution of this system and discuss the convergence criteria of the sequences generated by the iterative algorithm under some suitable conditions.
Keywords:

System of generalized quasi-variational inequalities , Nonlinear , nonconvex , nondifferentiable term , uniformly smooth Banach space , retraction mapping , iterative algorithm , Convergence analysis

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 1, Jan 2023
Pages:
2049 to 2060
https://www.magiran.com/p2563304