Journal of Applied Mathematics and Stochastic Analysis
Volume 2004 (2004), Issue 2, Pages 193-195
doi:10.1155/S1048953304403013
A-monotonicity and applications to nonlinear variational inclusion problems
International Publications, 5066 Jamieson Drive, Suite B-9, Toledo 43613, OH, USA
Received 2 March 2004
Copyright © 2004 Ram U. Verma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
A new notion of the A-monotonicity is introduced, which generalizes the H-monotonicity. Since the A-monotonicity originates from hemivariational inequalities, and hemivariational inequalities are connected with nonconvex energy functions, it turns out to be a useful tool proving the existence of solutions of nonconvex constrained problems as well.