The Common Solution for the Question of Fixed Points and the Question of Variational Inclusions
Yong Chen · Journal of Mathematical Research and Exposition · 2009
In this paper,we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inclusion for an inverse-strongly monotone mapping and a maximal monotone mapping in a real Hilbert space.Then we show that the sequence converges strongly to a common element of two sets.Using the result,we consider the problem of finding a common fixed point of a nonexpansive mapping and a strictly pseudocontractive mapping in a real Hilbert space.