Dualities
Juan Enrique Martínez-Legaz, Ivan Singer · Optimization · 1994
For a complete totally ordered group (in the sense of [3], Ch. 14), let , where , with and ∗ extended from A to and, respectively, in a natural way, and, for any set X, extend , pointwise on X. For two sets X and W, we introduce and study (by the conditions and for all ),which encompass various kinds of known conjugations and polarieis. We give some Applications to , and to duality in optimization