فهرست نشریات علمی دسترسی آزاد ایران

The purpose of this paper is to develop nonsmooth optimization problems (P) in which all emerging functions are assumed to be real-valued quasiconvex functions that are defined on a finite-dimensional Euclidean space‎. First‎, ‎we introduce two linear optimization problems with the same optimal value of the considered problem‎. ‎Then‎, ‎we introduce a real-valued non-negative gap function for (P)‎, ‎and we provide some conditions which ensure that its null points are the same as the optimal solution of problem (P)‎. ‎The results are based on incident subdifferential‎, ‎which is an important concept in the analysis of quasiconvex functions.