An inexact operator splitting method for general mixed variational inequalities

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:6 Issue:2
An inexact operator splitting method for general mixed variational inequalities

An inexact operator splitting method for general mixed variational inequalities

Pages : 258-269

View : 91 | Download : 14

Publication Date : 2022-06-30

Article Type : Research Paper

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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