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.
Shafi,S . (2023). An iterative algorithm for a system of generalized quasi-variational inequalities. International Journal of Nonlinear Analysis and Applications, 14(1), 2049-2060. doi: 10.22075/ijnaa.2022.26022.3194
MLA
Shafi,S . "An iterative algorithm for a system of generalized quasi-variational inequalities", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 2049-2060. doi: 10.22075/ijnaa.2022.26022.3194
HARVARD
Shafi S. (2023). 'An iterative algorithm for a system of generalized quasi-variational inequalities', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 2049-2060. doi: 10.22075/ijnaa.2022.26022.3194
CHICAGO
S Shafi, "An iterative algorithm for a system of generalized quasi-variational inequalities," International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 2049-2060, doi: 10.22075/ijnaa.2022.26022.3194
VANCOUVER
Shafi S. An iterative algorithm for a system of generalized quasi-variational inequalities. IJNAA. 2023;14(1):2049-2060. doi: 10.22075/ijnaa.2022.26022.3194
International Journal of Nonlinear Analysis and Applications