The paper investigates stationarity and regularity concepts for set systems in a normed space. Several primal and dual constants characterizing these properties are introduced and the relations between the constants are established. The equivalence between the regularity property and the strong metric inequality is established. The extended extremal principle is formulated. keywords: nonsmooth ...

In this paper, we give sufficient conditions for the upper semicontinuity property of the solution mapping of a parametric generalized vector quasiequilibrium problem with mixed relations and moving cones. The main result is proven under the assumption that moving cones have local openness/local closedness properties and set-valued maps are cone-semicontinuous in a sense weaker than the usual s...

ABSTRACT C ii line intensity mapping (LIM) is a potential technique to probe the early galaxies from Epoch of Reionization (EoR). Several experiments e.g. CONCERTO, TIME, CCAT-p are underway map LIM signal fluctuations EoR, enabling us estimate power-spectrum and × 21-cm cross-power spectrum. The observed will have its time evolution embedded in it along sight due finite traveltime origin obser...

Citlalt petl volcano is the easternmost stratovolcano in the Trans-Mexican Volcanic Belt. Situated within 110 km of Veracruz, it has experienced two major collapse events and, subsequent to its last collapse, rebuilt a massive, symmetrical summit cone. To enhance hazard mitigation efforts we assess the stability of Citlalt petl’s summit cone, the area thought most likely to fail during a potent...

We consider two notions for the representations of convex cones: G-representation and liftedG-representation. The former represents a convex cone as a slice of another; the latter allows in addition, the usage of auxiliary variables in the representation. We first study the basic properties of these representations. We show that some basic properties of convex cones are invariant under one noti...

We investigate some properties related to the generalized Newton method for the Fischer-Burmeister (FB) function over second-order cones, which allows us to reformulate the second-order cone complementarity problem (SOCCP) as a semismooth system of equations. Specifically, we characterize the B-subdifferential of the FB function at a general point and study the condition for every element of th...

Cone penetration testing (CPT) is a widely used geotechnical engineering in-situ test for mapping soil profiles and assessing properties. In CPT, cone on the end of series rods pushed into ground at constant rate resistance to tip measured (qm). The qm values are utilized characterize profile. Unfortunately, blurred and/or averaged which can result in distortion profile characterization inabili...