An accelerated Tseng type method for solving zero point problems and certain optimization problems

In this paper, we proposed a modified Tseng’s splitting iterative algorithm for approximating
a solution of split feasibility problem for zero and fixed point problems. By incorporating an
inertial extrapolation method and Halpern iterative technique, we established a strong con
vergence result for approximating a solution of split fixed point problem for a nonexpansive
and quasinonexpansivemapping which isalso a zero point of sum oftwo monotone operators
in the framework of real Hilbert spaces. Furthermore, we present a numerical example to
support our main result. The results obtained in this paper improve, extend and unify some
related results in the literature.