Equivalence between Generalized Saddle Point and Sun-point∗

Abstract In this paper concept of generalized saddle point(GSP) is introduced and applied to an optimization problem of a set of functionals on a Banach space, which shows that GSP and the optimum solution are equivalent. Although sun-point is a essential concept in approximation theory, their relation is seldom discussed. In this paper sun-point is also introduced to depict the optimum solution of a problem, and if functionals are convex, the equivalence between GSP and sun-point is established