In this paper, we consider the generalized nonlinear variational inclusions
for nonclosed and nonbounded valued operators and define an iterative algo
rithm for finding the approximate solutions of this class of variational in
clusions. We also establish that the approximate solutions obtained by our
algorithm converge to the exact solution of the generalized nonlinear varia
tional inclusion. (C) 2000 Elsevier Science Ltd. All rights reserved.