A New Smoothing Algorithm to Solve a System of Nonlinear Inequalities

Abstract

In this study, the system of nonlinear inequalities (SNI) problem is investigated. First, a new smoothing technique for the ``$\max$'' function is proposed. Then, a new smoothing algorithm is developed in order to solve SNI by combining the smoothing technique with the iterative method. The new algorithm is applied to some numerical examples to show the efficiency of our algorithm.