An iterative method for solving multiple-set split feasibility problems in Banach spaces

Al-Homidan, S., Ali, B. and Suleiman, Y. I.





In this paper, we study generalized multiple-set split feasibility problems (in short, GMSSFP)
in the frame work of p-uniformly convex real Banach spaces which are also uniformly smooth.
We construct an iterative algorithm which is free from an operator norm and prove its strong
convergence to a solution of GMSSFP, that is, a solution of convex problem and
a common fixed point of a countable family of Bregman asymptotically quasi-nonexpansive mappings
without requirement for semi-compactness on the mappings.
We illustrate our algorithm and convergence result by a numerical example.


Additional Information


 Ali, B., Al-Homidan, S., Suleiman, Y. I.