STABILITY OF THE LOWER LEVEL SETS OF ICAR FUNCTIONS.

In this paper, we study the stability of the tower level set ... of a finite valued increasing convex-along-rays (ICAR) function f defined on ... In monotonic analysis, ICAR functions play the role of usual convex functions in classical convex analysis. We show that each ICAR function f is locally Lipschitz on int dom f and that the pointwise convergence of a sequence of ICAR functions implies its uniform convergence on each compact subset of ... The latter allows us to establish stability results for ICAR functions in some sense similar to those for convex functions. [ABSTRACT FROM AUTHOR]