A STRONG CONVERGENCE THEOREM UNDER A NEW HYBRID METHOD FOR FINITE FAMILIES OF NONLINEAR MAPPINGS IN A HILBERT SPACE

摘要

In this paper, using a new hybrid method, we prove a strong convergence theorem for finding a common element of the set of zero points of a maximal monotone operator, the set of common fixed points of a finite family of demimetric mappings and the set of common zero points of a finite family of inverse strongly monotone mappings in a Hilbert space. Using this result, we obtain well-known and new strong convergence theorems in a Hilbert space.