Several inequalities for convex functions are derived in this paper using the monotonicity properties of and a generalized weighted-type fractional integral operator, which allows integration function κ with respect to another order. Additionally, it is clear that results were generalizations previously presented findings. In addition, different types obtained basic features mathematical analys...

We consider general linear non-degenerate weak-coupled cooperative elliptic systems and study certain monotonicity properties of the generalized principal eigenvalue in Rd with respect to potential. It is shown that on right equivalent recurrence property twisted operator which is, turn, minimal growth at infinity eigenfunctions. The strict be exponential stability operators. An equivalence bet...

Abstract In this paper, convergence theorems involving convex inequalities of Copson’s type (less restrictive than monotonicity assumptions) are given for varying measures, when imposing convexity conditions on the integrable functions or measures. Consequently, a continuous dependence result wide class differential equations with many interesting applications, namely measure (including Stieltj...

`Constraint hierarchy' is a nonmonotonic system that allows programmers to describe over-constrained real-world problems by specifying constraints with hierarchical preferences, and has been applied to various areas. An important aspect of constraint hierarchies is the existence of e cient satisfaction algorithms based on local propagation. However, past local-propagation algorithms have been l...

Using the “basic monotonicity property” along locally admissible trajectories, we extend to very general problems certain existing results concerning the differential inequalities verified by the value function of an optimal control problem; these differential inequalities are expressed in terms of its contingent, quasitangent, and peritangent (Clarke’s) directional derivatives and in terms of ...

The purpose of this paper is to study the solvability for a class of generalized strong vector variational-like inequalities in reflexive Banach spaces. Firstly, utilizing Brouwer’s fixed point theorem, we prove the solvability for this class of generalized strong vector variational-like inequalities without monotonicity assumption under some quite mild conditions. Secondly, we introduce the ne...

Abstract An existence result for a generalized inequality over possible unbounded domain in finite-dimensional space is established. The proof technique allows to avoid any monotonicity assumption. We adapt weak coercivity condition introduced Castellani and Giuli (J Glob Optim 75:163–176, 2019) game which extends an older one proposed by Konnov Dyabilkin 49:575–577, 2011) equilibrium problems....

Abstract The paper presents a manually annotated corpus of Polish quantificational expressions. quantifier annotation was conducted on top existing gold-standard data for as its separate layer. This releases the and gives an overview related tools. As far we know, this is first large-scale generalized quantifiers together with their crucial semantic properties, including monotonicity profile. W...