In this article, we compare two different calmness conditions which are widely used in the literature on bilevel programming and on mathematical programs with equilibrium constraints. In order to do so, we consider convex bilevel programming as a kind of intersection between both research areas. The so-called partial calmness concept is based on the function value approach for describing the lo...

The paper deals with the calmness of a class of multifunctions in finite dimensions. Its first part is devoted to various conditions for calmness, which are derived in terms of coderivatives and subdifferentials. The second part demonstrates the importance of calmness in several areas of nonsmooth analysis. In particular, we focus on nonsmooth calculus and solution stability in mathematical pro...

Taking a temporal perspective, we examined how employees' mood (i.e., wakefulness-tiredness, calmness-tenseness, and pleasantness-unpleasantness) develops during the workday tested daily recovery from work as predictor of these trajectories. Specifically, analysed serial mediation model with evening experiences psychological detachment, relaxation, mastery experiences, control) being indirectly...

This paper provides operative point-based formulas (only involving the nominal data, andnot data in a neighborhood) for computingor estimating the calmness modulus of the optimal set (argmin) mapping in linear optimization under uniqueness of nominal optimal solutions. Our analysis is developed in two different parametric settings. First, in the framework of canonical perturbations (i.e., pertu...

Laboratory studies have shown a significant influence of certain fragrances on affective as well as cognitive states in humans. The aim of the current study was to measure the relationship between complex, natural odors and affective states, that is, calmness, alertness, and mood, in the field. In 4 experiments, the emotional impact, intensity, and hedonics of complex, natural plant odors were ...

The Abadie CQ (ACQ) for convex inequality systems is a fundamental notion in optimization and approximation theory. In terms of the contingent cone and tangent derivative, we extend the Abadie CQ to more general convex multifunction cases and introduce the strong ACQ for both multifunctions and inequality systems. Some seemly unrelated notions are unified by the new ACQ and strong ACQ. Relation...

Abstract We establish two types of estimates for generalized derivatives set-valued mappings which carry the essence basic patterns observed throughout pile calculus rules. These also illustrate role essential assumptions that accompany these patters, namely calmness on one hand and (fuzzy) inner calmness* other. Afterwards, we study relationship between sufficient conditions various notions (i...