Characterizations of the solution set for a class of nonsmooth optimization problems

• DOI: 10.1007/s11590-012-0471-y
• Publication Date: 2012-03-26T14:04:12Z
• Authors: Ke Quan Zhao; Xin Min Yang
• Keywords: Solution set; Constant (computer programming); Lagrangian relaxation

In this paper, a class of nonsmooth optimization problems with inequality constraints is considered. It is shown that the Lagrangian function associated with a fixed Lagrange multiplier is constant on the solution set under suitable conditions. Then, some characterizations of the solution set of this class of optimization problems are obtained. Examples are given to illustrate our main results.