Abstract:Filled function methods for nonsmooth optimization problems are discussed. Based on the concept of function descent (ascent) segments, two new properties concerning function descent (ascent) segments are proposed. Utilizing these properties, a class of nonsmooth filled functions with special structures is investigated. The two parameters filled function method from existing literature is extended to nonsmooth optimization, making it applicable for solving optimization problems with particular structural features. The key findings represent significant improvements and generalizations of current methodologies in the field.