SOLUTION OF MIXED EQUILLIBRIUM PROBLEMS AND MULTI-VALUED QUASI-Φ-NONEXPANSIVE MAPPINGS

In this paper, we introduce an Ishikawa-type iterative method for finding a common element of the set of fixed points of a finite family of quasi-φ-nonexpansive multi-valued mappings and the set of solutions of mixed equilibrium problems with a relaxed η − α monotone mapping in Banach spaces. Strong convergence of the iterative sequence is established. Our results improve and generalize many recent results in the literature.