Abbas, MujahidIbrahim, YusufKhan, Abdul RahimDe la Sen, Manuel2020-06-092020-06-092019-05Abbas, M., Ibrahim, Y., Khan, A.R. et al 2019, 'Strong convergence of a system of generalized mixed equilibrium problem, split variational inclusion problem and fixed point problem in Banach spaces', Symmetry, vol. 11, no. 5, art. 722, pp. 1-21.2073-8994 (online)10.3390/sym11050722http://hdl.handle.net/2263/74919The 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.en©2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).Split variational inclusion problemGeneralized mixed equilibrium problemFixed point problemMaximal monotone operatorLeft Bregman asymptotically nonexpansive mappingUniformly convex and uniformly smooth Banach spaceArticle