Open Access

  

Original research article

An inexact operator splitting method for general mixed variational inequalities

Author(s):

Abdellah Bnouhachem

Équipe MAISI, ENSA, BP 1136, Ibn Zohr University, Agadir, Morocco.

Advances in the Theory of Nonlinear Analysis and its Applications 6(2), 258-269.
Received: January 30, 2021

  

  

  

Accepted: February 23, 2022

  

Published: February 26, 2022

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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APA Style

Bnouhachem, A. (2022). An inexact operator splitting method for general mixed variational inequalities. Advances in the Theory of Nonlinear Analysis and its Application6(2), 258-269.