Attractive Point and Mean Convergence Theorems for Normally Generalized Hybrid Mappings in Hilbert Spaces (Study on Nonlinear Analysis and Convex Analysis)

Abstract

In this article, using Banach limits, we study the existence of attractive points of commutative normally 2-generalized hybrid mappings in Hilbert spaces. Then we prove a mean convergence theorem for the mappings in Hilbert spaces. Using these results, we obtain well-known attractive point and mean convergence theorems in Hilbert spaces.