Ishikawa type mean convergence theorems for finding common fixed points of nonlinear mappings in Hilbert spaces

Combining the ideas of Ishikawa iteration and mean iteration, we establish weak convergence theorems for finding common fixed points of nonlinear mappings. The mappings are not necessarily continuous or commutative. We consider a class of mappings which includes nonexpansive mappings, generalized hybrid mappings and normally 2-generalized hybrid mappings as special cases. Our result generates many alternative iteration schemes to approximate common fixed points of nonlinear mappings and improves many existing theorems in the literature.