A HYBRID-EXTRAGRADIENT ITERATIVE METHOD FOR SPLIT MONOTONE VARIATIONAL INCLUSION, MIXED EQUILIBRIUM PROBLEM AND FIXED POINT PROBLEM FOR A NONEXPANSIVE MAPPING
K.R. Kazmi, Shuja Haider Rizvi, Rehan Ali · Journal of the Nigerian Mathematical Society · 2016
In this paper, we investigate a hybrid-extragradient iterative method to approximate a common element of the set of solutions of split monotone variational inclusion, mixed equilibrium problem and fixed-point problem for a nonexpansive mapping. Further, we establish a strong convergence theorem for the sequences generated by the proposed iterative algorithm. We also derive some consequences from our main result. A numerical example is given to support our main result. The method and results presented in this paper are the extension and generalization of the previously known iterative methods and results in this area.