Penalty function methods are popular in dealing with the constrained optimization problems. How to choose reasonable penalty coefficients is a crucial problem which usually poses great influence on the quality of the final solution found. In this paper, the definition of the minimum penalty...

In this paper, we provide some new necessary and sufficient conditions for pseudoconvexity and semistrict quasiconvexity of a given proper extended real-valued function in terms of the Clarke–Rockafellar subdifferential. Further, we extend to programs with pseudoconvex objective function two...

This paper introduces a second-order differentiability smoothing technique to the classical l <Subscript>1</Subscript> exact penalty function for constrained optimization problems(COP). Error estimations among the optimal objective values of the nonsmooth penalty problem, the smoothed penalty problem and the original...</subscript>