Let C be a nonempty closed convex subset of a real Hilbert space H. Consider the following iterative algorithm given by

arbitrarily chosen,

,

, where

> 0, B : C

H is a

-inverse-strongly monotone mapping, f is a contraction of H into itself with a coefficient

(0 <

< 1),

is a projection of H onto C, A is a strongly positive linear bounded operator on H and

is the W-mapping generated by a finite family of nonexpansive mappings

,

,

,

and {

}, {

},

, {

}. Nonexpansivity of each

ensures the nonexpansivity of

. We prove that the sequence {

} generated by the above iterative algorithm converges strongly to a common fixed point

:=

which solves the variational inequality

for all

. Using this result, we consider the problem of finding a common fixed point of a finite family of nonexpansive mappings and a strictly pseudocontractive mapping and the problem of finding a common element of the set of common fixed points of a finite family of nonexpansive mappings and the set of zeros of an inverse-strongly monotone mapping. The results obtained in this paper extend and improve the several recent results in this area.