Author(s)

Bingzhuang Liu

School of Mathematics and Statistics, Shandong University of Technology, Zibo, China.

We propose a new unified path to approximately smoothing the nonsmooth exact penalty function in this paper. Based on the new smooth penalty function, we give a penalty algorithm to solve the constrained optimization problem, and discuss the convergence of the algorithm under mild conditions.

Penalty Function, Constrained Optimization, Smoothing Method, Optimal Solution

Liu, B. (2021) A New Unified Path to Smoothing Nonsmooth Exact Penalty Function for the Constrained Optimization. Open Journal of Optimization, 10, 61-70. doi: 10.4236/ojop.2021.103005.