Convergence theorems for generalized mixed equilibrium and variational inclusion problems of strict-pseudocontractive mappings

In this paper, we introduce and analyze a new iterative algorithm for finding a common element of the set of fixed points of strictly-pseudocontractive, the set of common solutions of generalized mixed equilibrium problems and the set of common solutions of the variational inclusion with inverse-strongly accretive mappings in Banach spaces. Using our new iterative scheme, we prove strong convergence theorems for approximation of common element of the three above mentioned sets. The results obtained in this paper extend the corresponding results announced by many authors and the previously known results in this area.