HYBRID METHODS FOR SPLIT FEASIBILITY PROBLEMS, FIXED POINT PROBLEMS AND ZERO POINTS OF NONLINEAR OPERATORS WITH APPLICATIONS

In this paper, we propose and analyze a hybrid iterative algorithm for finding a common element of the solution set of a split feasibility problem, the set of common fixed points of an infinite family of strictly pseudo-contractive mappings and the set of zero points of the sum of an inverse-strongly monotone mapping and a maximal monotone operator in infinite-dimensional Hilbert spaces. As applications, we get a new strong convergence result which is connected with split feasibility problems, generalized mixed equilibrium problems and fixed point problems. The results generalize and improve the recent results announced by many other authors.