From its origins in the minimization of integral functionals, the notion of'variations' has
evolved greatly in connection with applications in optimization, equilibrium, and control. It …

Variational analysis has been recognized as a fruitful area in mathematics that on the one
hand deals with the study of optimization and equilibrium problems and on the other hand …

Originated from the practical implementation and numerical considerations of iterative
methods for solving mathematical programs, the study of error bounds has grown and …

Linear and nonlinear variational inequality problems over a polyhedral convex set are
analyzed parametrically. Robinson's notion of strong regularity, as a criterion for the solution …

Quadratic programs and affine variational inequalities represent two fundamental, closely-
related classes of problems in the t, heories of mathematical programming and variational …

This paper studies the existence of a (Lipschitz) continuous (single-valued) solution function
of parametric variational inequalities under functional and constraint perturbations. At the …

In this paper we obtain a verifiable sufficient condition for a polyhedral multifunction to be
Lipschitz continuous on its domain. We apply this sufficient condition to establish the …

The present paper is devoted to the optimisation of parabolic type differential inclusions
(DFIs) given by polyhedral set-valued mappings. For this, an auxiliary problem with a …

Given a semialgebraic set-valued map F:R^n\rightrightarrowsR^m with closed graph, we
show that the map F is Hölder metrically subregular and that the following conditions are …

Presents research contributions and tutorial expositions on current methodologies for
sensitivity, stability and approximation analyses of mathematical programming and related …