SHRINKING PROJECTION METHOD FOR A FINITE FAMILY OF SPLIT GENERALIZED EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS

In this paper, we consider a common solution of three problems in Hilbert spaces including the multiple -set split convex generalized equilibrium problems, the variational inequality problem and fixed point problem of demicontractive operators. For finding the solution, we present a new shrinking projection iterative method and prove the strong convergence theorem under mild conditions. Our main results generalize many previously known results in this research area.