On a nonsmooth vector optimization problem with generalized cone invexity
Summary: Using Clarke's generalized gradients we consider a nonsmooth vector optimization problem with cone constraints and introduce some generalized cone-invex functions called \(K\)-\(\alpha\)-generalized invex, \(K\)-\(\alpha\)-nonsmooth invex, and other related functions. Several sufficient optimality conditions and Mond-Weir-type weak and converse duality results are obtained for this problem under the assumptions of the generalized cone invexity. The results presented in this paper generalize and extend the previously known results in this area.
scientific article; zbMATH DE number 6134094
scientific article