Convex-along-rays functions and star-shaped sets
Alexander M. Rubinov, Alexander Vladimirov · Numerical Functional Analysis and Optimization · 1998
We study abstract convex functions with respect to the set of all abstract affine functions of the form x→ mini=l,…,n+l[li,x] - c. We describe large classes of abstract convex functions and give conditions guaranteeing subdifferentiability of these functions. Some applications to the study of problems of global optimization are discussed.