On Integrated Convex Optimization in Normed Linear Space
Jinshan Li, Yu Xia · 2008
Abstract In this paper, the concept of generalized saddle point(GSP) is employed to discuss the optimization problems of a set of convex functions on a normed linear space X, which presents an equivalence under a special condition between GSP and its optimum solution. A study on integrated convex optimization problem by using Gâteaux and Fréchet differentiability respectivly, and the equivalent relationships among GSP, Gâteaux and Fréchet differentiability respectively, and optimum solution are concerned in this paper.