2 papers
math.OC2021
Optimality conditions, approximate stationarity, and applications -- a story beyond Lipschitzness
Alexander Y. Kruger, Patrick Mehlitz
Approximate necessary optimality conditions in terms of Fréchet subgradients and normals for a rather general optimization problem with a potentially non-Lipschitzian objective fun…
math.FA2019
Zero Duality Gap in View of Abstract Convexity
Hoa T. Bui, Regina S. Burachik, Alexander Y. Kruger +1
Using tools provided by the theory of abstract convexity, we extend conditions for zero duality gap to the context of nonconvex and nonsmooth optimization. Mimicking the classical…