An inexact operator splitting method for general mixed variational inequalities

The present paper aims to deal with an inexact implicit method with a variable parameter for generalmixed variational inequalities in the setting of real Hilbert spaces. Under standard assumptions, the globalconvergence of the proposed method is proved. Numerical example is presented to illustrate the proposedmethod and convergence result. The results and method presented in this paper generalize, extend and unifysome known results in the literature.

Keywords:

General mixed variational inequalities, implicit methods, resolvent operator, inexact methods self-adaptive rules,

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