Abstract:
In this paper, we investigate a hybrid algorithm for finding zeros of the sum of
maximal monotone operators and Lipschitz continuous monotone operators which is also a
common fixed point problem for finite family of relatively quasi-nonexpansive mappings and
split feasibility problem in uniformly convex real Banach spaces which are also uniformly
smooth. The iterative algorithm employed in this paper is design in such a way that it
does not require prior knowledge of operator norm. We prove a strong convergence result
for approximating the solutions of the aforementioned problems and give applications of our
main result to minimization problem and convexly constrained linear inverse problem. The
result present in this paper extends and complements many related results in literature.
