A New Hybrid Iterative Method for Solving a Mixed Equilibrium Problem and a Fixed Point Problem for Quasi-Bregman Strictly Pseudocontractive Mappings

In this paper, we introduce and study a new hybrid iterative method for finding a common solution of a mixed equilibrium problem and a fixed point problem for an infinitely countable family of closed quasi-Bregman strictly pseudocontractive mappings in reflexive Banach spaces. We prove that the sequences generated by the hybrid iterative algorithm converge strongly to a common solution of these problems.