MINMAX ANALYSIS

Previously, we have demonstrate in [6] for the ''scalar product'' MINP LUS inf(x) (f(x)+g(x)), how we can synthesize a domain of non linear a nalysis in a new ''variational-like'' formalism for Isc and convex Ise functions. In this paper, the same synthesis can be achieved using th e new ''scalar product'' inf(x) (max(f(x), g(x))) for Isc and quasicon vex Ise function. We introduce in particular the infimaxaffine transfo rm which play the same role in MINMAX analysis than the Legendre-Fench el transform in MINPLUS analysis, and a Mosco-convergence generalizati on for the quasiconvex functions.