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

Ram U. Verma

 International Publications, 5066 Jamieson Drive, Suite B-9, Toledo 43613, OH, USA
Received 2 March 2004

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.