Results 31 to 40 of about 383 (157)
When is a monotone function cyclically monotone?
We provide sufficient conditions for a monotone function with a finite set of outcomes to be cyclically monotone. Using these conditions, we show that any monotone function defined on the domain of gross substitutes is cyclically monotone. The result also extends to the domain of generalized gross substitutes and complements.
Alexey I. Kushnir, Lev V. Lokutsievskiy
wiley +1 more source
Error estimation for second‐order partial differential equations in nonvariational form
Abstract Second‐order partial differential equations (PDEs) in nondivergence form are considered. Equations of this kind typically arise as subproblems for the solution of Hamilton–Jacobi–Bellman equations in the context of stochastic optimal control, or as the linearization of fully nonlinear second‐order PDEs. The nondivergence form in these problems
Jan Blechschmidt +2 more
wiley +1 more source
A New Approach to Concavity Fuzzification
In this paper, we introduce a more general approach to the fuzzification of fuzzy concavity. More specifically, the degree of (L, M)‐fuzzy concavity is introduced and characterized as a generalization of L‐concave structure and (L, M)‐fuzzy concave structure.
Ibtesam Alshammari +3 more
wiley +1 more source
Epi‐α‐Normality and Epi‐β‐Normality
A topological space (Y, τ) is called epi‐α‐normal (epi‐β‐normal) if there is a coarser topology τ′ on Y such that (Y, τ′) is T1 α‐normal (T1 β‐normal). We investigate these properties and show some examples to explain the relationships of epi‐α‐normal (epi‐β‐normal) with other weaker versions of normality and some topological spaces.
Nadia Gheith +2 more
wiley +1 more source
Summary: We show first that every topology \(\tau\) has a minimum Alexandroff topology expansion \(\tau^{A}\) and investigate such expansion topologies. Then, we lift the Ginsburg structure theorem for homogeneous finite spaces to the class of homogeneous partition spaces which includes the class of homogeneous locally finite spaces.
Rose, David +2 more
openaire +2 more sources
Let FP(X) be the free paratopological group on a topological space X in the sense of Markov. In this paper, we study the group FP(X) on a $P_\alpha$-space $X$ where $\alpha$ is an infinite cardinal and then we prove that the group FP(X) is an Alexandroff
Ali Sayed Elfard
doaj +1 more source
Completeness by Modal Definitions. Application to the Epistemic Logic With Hypotheses
We investigate the variant of epistemic logic S5 for reasoning about knowledge under hypotheses. The logic is equipped with a modal operator of necessity that can be parameterized with a hypothesis representing background assumptions.
Levan Uridia, Dirk Walther
doaj +1 more source
ta ON ARTINIAN T0- ALEXANDROFF SPACES
ta ON ARTINIAN T0- ALEXANDROFF ...
Mahdi, Hisham B., El-atrash, Mohammed S.
openaire +1 more source
Ways of obtaining topological measures on locally compact spaces [PDF]
Topological measures and quasi-linear functionals generalize measures and li\-near functionals. Deficient topological measures, in turn, generalize topological measures.
S. V. Butler
doaj +1 more source
The Jordan curve theorem in the Khalimsky plane
The connectivity in Alexandroff topological spaces is equivalent to the path connectivity. This fact gets some specific properties to Z2, equipped with the Khalimsky topology.
Ezzeddine Bouassida
doaj +1 more source

