The common solutions of complementarity problems and a zero point of maximal monotone operators by using the hybrid projection method

Abstract

In this paper, we propose a projection method for solving nonlinear complementarity problems and a zero point of maximal monotone operators. Strong convergence theorems are established for solving the common solutions of complementarity problems and a zero point of maximal monotone operators together with a system of generalized equilibrium, variational inequality and fixed point problems in a uniformly smooth and 2-uniformly convex real Banach space. Moreover, we also apply the result to Hilbert spaces. © 2016, North Atlantic University Union. All rights reserved.