Optimality condictions and dual theorems of a class of nonsmooth preinvex programming
Xu Yi · Jounal of Xidian University · 2002
B linear functions are extended to B prelinear functions. Properties of B preinvex functions and B prelinear functions are discussed under local Lipschitz conditions by using Clarke generalized gradients. Sufficient optimality conditions are presented for a class of optimization problems with the local Lipschitz B preinvex objective function and inequality constraints as well as local Lipschitz B prelinear equality constraints. Also, Mond Weir type dual theorems of Lipschitz B prinvex programming problem are established.