Abstract:
The purpose of this paper is to introduce a new algorithm to approximate a common
solution for a system of generalized mixed equilibrium problems, split variational inclusion problems
of a countable family of multivalued maximal monotone operators, and fixed-point problems of
a countable family of left Bregman, strongly asymptotically non-expansive mappings in uniformly
convex and uniformly smooth Banach spaces. A strong convergence theorem for the above
problems are established. As an application, we solve a generalized mixed equilibrium problem,
split Hammerstein integral equations, and a fixed-point problem, and provide a numerical example
to support better findings of our result.
