Calculus of Generalized Quasi－differentiable Functions Ⅰ：Some Results on the Space of Pairs of Convex－Set Collections

摘要

A Riesz space K1 whose elements are pairs of convex-set collections is presented for the study on the calculus of generalized quasi-differentiable functions.The space K1 is constructed by introducing a well-defined equivalence reation among pairs of collections of convex sets .Some important properties on the norm and operations is K1 are given.