An inexact operator splitting method for general mixed variational inequalities

Year 2022, Volume: 6 Issue: 2, 258 - 269, 30.06.2022

Abdellah Bnouhachem

https://doi.org/10.31197/atnaa.871010

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

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