Jin Zhang

Enhanced Optimality Conditions and New Constraint Qualifications Jin Zhang

The book concerns the development of enhanced optimality conditions for mathematical programs with geometric constraints (MPGC), nonlinear programming problems (NLP), and mathematical programs with equilibrium constraints (MPEC). By bringing new techniques to the problem, the authors are not only able to make the extension to the nonsmooth setting, but also are able to shed new light on and obtain new results for the smooth setting. In addition, the authors are able to extend for the first time some of these enhanced results to the infinite dimensional setting. As a consequence of the new enhanced constraint qualifications the authors are able to obtain novel enhanced KKT conditions, constraint set error bounds, exact penalty results and optimal value function sensitivity results.