Sigma supporting cone and optimality conditions in non-convex problems
S. Hassani, Musa A. Mammadov · FedUni ResearchOnline (Federation University Australia) · 2014
In this paper, a new supporting function for characterizing non-convex sets is introduced. The notions of σ-supporting cone and maximal conic gap are proposed and some properties are investigated. By applying these new notions, we establish the optimality conditions considered in [7] for a broader class of finite dimensional normed spaces in terms of weak subdifferentials.