Abstract:
The purpose of this paper is to present a modified Halpern iterative algorithm for finding
a common solution of quasi-variational inclusion problem and fixed point problem of a finite family of
demimetric mappings and quasi-nonexpansive mapping in the framework of real Hilbert spaces. Using
our iterative algorithm, we state and prove a strong convergence theorem for approximating the solution
of the aforementioned problems. We give some consequences of our main result, present an application to
variational inequality problem and dispaly numerical example to show the behaviour of our result. Our
result complements and extends some related results in literature.
