The present paper provides first and second-order characterizations of a radially lower semicontinuous strictly pseudoconvex function f : X → R defined on a convex setX in the real Euclidean space Rn in terms of the lower Dini-directional derivative. In particular we obtain connections between the strictly pseudoconvex functions, nonlinear programming problem, Stampacchia variational inequality...

Solving traffic equilibrium problem, or “traffic assignment”, as the last step in Transportation Planning, distributes OD trip demands of a transportation network over the network links with regard to Traffic Equilibrium Law, and estimates the link flows. In formulations of traffic equilibrium which are based on path saving, the memory consumption is considerably affected by the number of effct...

The Dynamic Positive Equilibrium Problem (DPEP) is a methodology for dealing with time series about economic agents’ decisions, regardless of the amount of available information. The approach is articulated in three phases, as in the static counterpart Symmetric Positive Equilibrium Problem (SPEP), with the variant that it must be preceded by the estimation of the equation of motion which chara...

By introducing redundant Klee-Minty examples, we have previously shown that the central path can be bent along the simplex path. In this paper, we seek for an analogous result for the volumetric path defined by the volumetric barrier function. Although we only have a complete proof in 2D, the evidence provided by some illustrations anticipates that a KleeMinty construction exists for the volume...

we study the equilibrium states for an energy functional with a parametric force field on a region of a surface. consideration of free equilibrium states is based on lyusternik - schnirelman's and skrypnik's variational methods. consideration of equilibrium states under a constraint of geometrical character is based on an analog of skrypnik's method, described in cite{vyr3}. in local coordinate...

Using the method of maximal monotonic (in Browder–Minty sense) operators, we prove global theorems on existence and uniqueness solutions for various classes nonlinear integrodifferential equations convolution type in real spaces Lp, 1 < p ∞, present illustrative examples.

This research contributes to the emerging interest in food morality by exploring preference for and effects of a particular flavor (mint) on consumption behavior. More specifically, we examine how refreshing oronasal properties specific (i.e., mint) systematically influence consumer preferences choice Across pilot two studies, show that mint can help dieters wash away guilt associated with &amp...