Author(s)

M. Aslam Noor & K. Inayat Noor

Abstract

In this paper, we use the auxiliary principle technique to suggest a class of predictor-corrector methods for solving mixed quasi equilibrium problems. The convergence of the proposed methods only requires the partially relaxed strong monotonicity of the bifunction. As special cases, we obtain various known and new results for solving different classes of equilibrium, variational inequalities and related problems. Keywords: Variational inequalities, auxiliary principle, iterative methods, convergence, fixed point. 1 Introduction Equilibrium problems theory provides us with a unified, natural, innovative and general framework to study a wide class of problems arising in finance, economics, network analysis, transportation, elasticity and

Keywords