Fund Project:Supported by the Natural Science Foundation Project of CQ CSTC (Grant No.2008BB7415) and the Natural Science Foundation of Chongqing University of Posts and Telecommunications (Grant No.A2008-47).
In this paper we introduce a new perturbed proximal-projection algorithm for finding the common element of the set of fixed points of non-expansive mappings and the set of solutions of nonlinear mixed variational-like inequalities. The convergence criteria of the iterative sequences generated by the new iterative algorithm is also given. Our approach and results generalize many known results in this field.