Improvement of well-posedness for Hemiequilibrium problems

Abstract

The goal of present work is to study concepts of well-posedness for hemiequilibrium problems ((HEP) for short) and to optimization with equilibrium constraints involving $ \psi -monotone$ bifunction. Some metric characterizations of well-posedness for optimization problems and for optimization problems with equilibrium constraints are given. Finally, under suitable condition, the well-posedness of (OPHEPC) is equivalent to the existence and uniqueness are considered.