- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 6 Issue: 2
- An inexact operator splitting method for general mixed variational inequalities
An inexact operator splitting method for general mixed variational inequalities
Authors : Abdellah BNOUHACHEM
Pages : 258-269
Doi:10.31197/atnaa.871010
View : 4 | Download : 11
Publication Date : 2022-06-30
Article Type : Research
Abstract :The present paper aims to deal with an inexact implicit method with a variable parameter for general mixed variational inequalities in the setting of real Hilbert spaces. Under standard assumptions, the global convergence of the proposed method is proved. Numerical example is presented to illustrate the proposed method and convergence result. The results and method presented in this paper generalize, extend and unify some known results in the literature.Keywords : General mixed variational inequalities, implicit methods, resolvent operator, inexact methods, self-adaptive rules