In this paper we introduce a new algorithm based on the viscosity iteration
method for solving the split common fixed point problem of two infinite
families of k-demicontractive mappings. We shall also study the split common
null point problem, and the split equilibrium problem for this class of
mappings. As an application, we obtain strong convergence theorems for the
split monotone variational inclusion problem and the split variational
inequality problem. Our results improve and extend the recent results of Cui
and Wang [9], Takahashi [21], Tang and Lui [22], Moudafi [15], Eslamian and
Vahidi [17], and many others.
Multidirectional hybrid algorithm for the split common fixed point problem and application to the split common null point problem
