STRONG CONVERGENCE OF SHRINKING PROJECTION METHOD FOR GENERALIZED EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITY PROBLEMS AND COMMON FIXED POINTS PROBLEMS IN BANACH SPACES

In this paper, we propose a hybrid projection algorithm basing on the shrinking projection method which the sequences generated by our proposed scheme converge strongly to a common element of the set of solutions of a generalized equilibrium problem, the set of common fixed points of finite family of closed relatively quasi-nonexpansive mappings and the set of solutions of the variational inequality for an inverse-strongly-monotone operator in Banach spaces. Using this result, we obtain some applications in a Banach space. Some results have been obtained which extend, improve and unify many important known results in recent literature.