Second-order necessary optimality conditions via directional regularity
Marcin Studniarski, Xiaoqi Yang · Optimization · 1996
In thi s pap er , new directional regularity conditions a re introduced for a general inclusion system involving locally Lipschitz multifunctions. Some sufficient co nditio ns for dir ectional regulariti es a re deri ved in Hilbert spaces. Second -ord er necessa ry co ndit ions rUI a ll optimi zation pro blem involving locall y Lipschitz mul tifunct ion s a re present ed in terms of dir ect ional regular ity conditions and seco nd-o rder dire ctional derivatives. An applica tion of the second-o rde r conditions to a mathemati cal programming prob lem is presented a nd some num erical examples are given to illustrate the results.