A GENERAL ITERATIVE METHOD WITH STRONGLY POSITIVE OPERATORS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS IN HILBERT SPACES

Abstract

We introduce a general iterative method with strongly positive operators for equilibrium problem and fixed point problems. Strong convergence theorems are proved in Hilbert space. Our results improve and extend results of Ceng, Guu and Yao [L.C. Ceng, S.M. Guu, J.C. Yao, Hybrid viscosity-like approximation methods for nonexpansive mappings in Hilbert spaces, Comput. Math. Appl. 58 (2009) 605-617], Marino and Xu [G. Marino, H.K. Xu, A general iterative method for nonexpansive mappings in Hilbert spaces, J. Math. Anal. Appl. 318 (2006) 43-52] and some well-known results in the literature.