Existence and Limiting Behavior of Trajectories Associatedwith P0-equations

摘要: Given a continuous P_0-function F : R^n → R^n, we describe method of constructing trajectories associated with the P_0-equation F(x) e 0. Various well known equation-based reformulations nonlinear complementarity problem and box variational inequality corresponding to lead P_0-equations. In particular, via (a) Fischer function for NCP, (b) min (c) fixed point map BVI, (d) normal BVI give raise P_0-equations when underlying is P_0. To generate trajectories, perturb given P-function F(x, e)s unique solutions e) 0 as varies over an interval in (0, ∞) then define trajectory. We prove general results on existence limiting behavior such trajectories. As special cases study interior trajectory, based trajectory aggregate vertical problem.