  Renormalization of the mass of an electron is studied within the framework of
the Extended Holstein model at strong coupling regime and nonadiabatic limit.
In order to take into account an effect of screening of an electron-phonon
interaction on a polaron it is assumed that the electron-phonon interaction
potential has the Yukawa form and screening of the electron-phonon interaction
is due to the presence of other electrons in a lattice. The forces are derived
from the Yukawa type electron-phonon interaction potential. It is emphasized
that the early considered screened force of
Refs.\cite{kor-giant,spencer,hague-etal,hague-kor} is a particular case of the
force deduced from the Yukawa potential and is approximately valid at large
screening radiuses compared to the distances under consideration. The Extended
Holstein polaron with the Yukawa type potential is found to be a more mobile
than polaron studied in early works at the same screening regime.
