We have the real positive(only) numbers space of dimension n.We have also a relation of two members(sorry),continuous,absoletuly monotonic(only >),cursive,in this space.
Also x,y are arrays and x>y in this space and 0<a<1.
How can we proove that a*x+(1-a)*y>y ?. (*: multiplication)
(G. Aliprantis, D. Brown and O. Burhinshaw, Existence and Optimality of Competitive Equilibrium, Springer-Verlag, 1990.)
sorry for my english.