Another duality scheme for Quasiconvex Problems
Jean‐Paul Penot, Michel Volle · Birkhäuser Basel eBooks · 1988
We introduce a new way of getting duality theories for quasiconvex problems. As in [13] it strongly relies on the use of a class K of nondecreasing functions. However the regularization process yielding the duality is taken with respect to a class of shifted K -linear functionals rather than with respect to a class of K -affine functionals as in [13]. A concept of subdifferential can be associated with the conjugation defined here; it can be used in connection with a notion of dual problem naturally associated with a primal problem or rather a perturbation of the primal problem.