Indian Journal of Industrial and Applied Mathematics
  • Year: 2017
  • Volume: 8
  • Issue: 2

An Iterative Algorithm for Generalized Mixed Equilibrium Problem

1Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, 170, Kingdom of Saudi Arabia

*E-mail: akramkhan_20@rediffmail.com

Abstract

In this paper, we suggest and analyse a predictor–corrector iterative scheme to study a generalized mixed equilibrium problem by using auxiliary principle technique. Also, we present the convergence of the proposed method using partially relaxed monotonicity and weak monotonicity conditions.

Keywords

Auxiliary principle, Iterative algorithm, Mixed equilibrium problem, Convergence, Monotonicity, 47H09, 49J40