On approximation of common solution of finite family of mixed equilibrium problems involving µ − α relaxed monotone mapping in a banach space

In this paper, we introduce a U-mapping for finite family of mixed equilibrium problems involving µ − α relaxed monotone operator. We prove a strong convergence theorem for finding the common solution of finite family of these equilibrium problems in a uniformly smooth and strictly convex Banach space which also enjoys Kadec-Klee property. Furthermore, we give some applications of our result and numerical example to show its relevance. Our results improve and generalize many other recent results in literature.