A branch-and-cut algorithm for solving linear problems with continuous separable piecewise linear cost functions was developed in 2005 by Keha et. al. This algorithm is based on valid inequalities for an SOS2 based formulation of the problem. In this paper we study the extension of the algorithm to the case where the cost function is only lower semicontinuous. We extend the SOS2 based formulati...

In many biomedical applications, researchers encounter semicontinuous data whereby data are either continuous or zero. When the data are collected over time the observations are correlated. Analysis of these kind of longitudinal semi-continuous data is challenging due to the presence of strong skewness in the data. In this paper, we develop a flexible class of zero-inflated models in a longitud...

Reducing sugars produced from agro-industrial wastes by means of hydrolysis represent a promising alternative chemicals and energy. Yet, large scale production still struggles with several factors involving process complexity, degradation, corrosion, enzyme recyclability, economic feasibility. More recently, sub supercritical water has been reported for the reducing as readily available to acid...

Since the turn of the century there have been several notions of convergence for subsets of metric spaces appear in the literature. Appearing in as a subset of these notions is the concepts of epi-convergence. In this paper we peresent definitions of epi-Cesaro convergence for sequences of lower semicontinuous functions from $X$ to $[-infty,infty]$ and Kuratowski Cesaro convergence of sequence...

On the background of a brief survey panorama results on topic in title, one new theorem is presented concerning positive topological entropy (i.e. chaos) for impulsive differential equations Cartesian product compact intervals, which positively invariant under composition associated Poincaré translation operator with multivalued upper semicontinuous mapping.

We prove that, for an analytic family of “weakly tame” regular functions on an affine manifold, the spectrum at infinity of each function of the family is semicontinuous in the sense of Varchenko.

We prove that uniform second order growth, tilt stability, and strong metric regularity of the subdifferential — three notions that have appeared in entirely different settings — are all essentially equivalent for any lower-semicontinuous, extended-real-valued function.

In this paper, we prove a minimization theorem for a proper lower semicontinuous convex function in a real Banach space, applying Takahashi’s nonconvex minimization theorem. Then we give another proof of Bishop-Phelps’ theorem.

From the KKM theorem for the “closed” and “open” valued cases, we deduce a generalization of the Alexandroff–Pasynkoff theorem, existence theorems for almost fixed points of lower semicontinuous multimaps, and a partial solution of the Ben-El-Mechaiekh conjecture.

In the present work we obtain existence results for Hammerstein type integro-differential inclusions in a finite dimensional space for the cases when the integral multifunction satisfies upper Caratheodory conditions and when it is almost lower semicontinuous.