  We propose a hybrid inertial self-adaptive algorithm for solving the split
feasibility problem and fixed point problem in the class of demicontractive
mappings. Our results are very general and extend several related results
existing in literature from the class of nonexpansive or quasi-nonexpansive
mappings to the larger class of demicontractive mappings. Examples to
illustrate numerically the effectiveness of the new analytical results are
presented.
