SPLIT COMMON FIXED POINT PROBLEMS AND NEW HYBRID METHODS FOR NONLINEAR MAPPINGS IN TWO BANACH SPACES AND APPLICATIONS

In this paper, we deal with split common fixed point problems under new hybrid methods for nonlinear operators in two Banach spaces. Using the resolvents of maximal monotone operators, demimetric mappings, demigeneralized mappings, the metric projections and the generalized projections, in Banach spaces, we prove strong convergence theorems for finding solutions of split common fixed point problems with zero points of maximal monotone operators in two Banach spaces. Using these results, we get new results which are connected with the split feasibility problem, the split common null point problem and the split common fixed point problem in Hilbert spaces and Banach spaces.