A hybrid conjugate method for variational inequalities over fixed point sets of demicontractive multimaps

  • Meriem Meddahi University Of Chlef
  • Khadra Nachi Université Oran 1, Ahmed ben Bella
  • Boubakeur Benahmed Ecole Nationale Polytechnique d'Oran,


In this paper, we introduce an iterative scheme based on the viscosity approximation method for variational inequality problems. Then, we prove the strong convergence of the iterative scheme to find a unique solution of the variational inequality. We provide an application to convex minimization over fixed point sets of demicontractive multimaps.