Results 11 to 20 of about 891,196 (239)

Development of interaction model for air traffic controllers and pilots using discrete mathematics methods

Научный вестник МГТУ ГА, 2020
The purpose of the article is to create a database of errors and to develop an algorithm for a situational decision-making model taking into account availability of potential errors of air traffic controllers and pilots.
A. I. Stepnova, V. I. Kochergin, S. M. Stepanov, V. A. Borsoev   +3 more
doaj   +1 more source

A Relation-Theoretic Formulation of Browder–Göhde Fixed Point Theorem

Axioms, 2021
In this paper, we introduce the concept of R-nonexpansive self-mappings defined on a suitable subset K of a Banach space, wherein R stands for a transitive binary relation on K, and utilize the same to prove a relation-theoretic variant of classical ...
Aftab Alam, Mohammad Imdad, Mohammad Asim, Salvatore Sessa   +3 more
doaj   +1 more source

Partitioned Binary Relations

MATHEMATICA SCANDINAVICA, 2013
We define the category of partitioned binary relations and show that it contains many classical diagram categories, including categories of binary relations, maps, injective maps, partitions, (oriented) Brauer diagrams and (oriented) Temperley-Lieb diagrams.
Martin, Paul, Mazorchuk, Volodymyr
openaire   +3 more sources

Compact Binary Relation Representations with Rich Functionality [PDF]

, 2012
Binary relations are an important abstraction arising in many data representation problems. The data structures proposed so far to represent them support just a few basic operations required to fit one particular application.
Barbay, Jérémy, Claude, Francisco, Navarro, Gonzalo   +2 more
core   +2 more sources

Ordinal notions of submodularity [PDF]

, 2008
We consider several ordinal formulations of submodularity, defined for arbitrary binary relations on lattices. Two of these formulations are essentially due to Kreps [Kreps, D.M., 1979.
Chambers, Christopher P., Echenique, Federico   +1 more
core   +2 more sources

An Extension of Strict Almost Contractions Employing Control Function and Binary Relation with Applications to Boundary Value Problems

Mathematics, 2023
This article comprises some fixed point results for Boyd–Wong-type strict almost contractions using locally L-transitive binary relations. We provide several examples to illustrate our findings.
Doaa Filali, Mohammad Akram, Mohammad Dilshad   +2 more
doaj   +1 more source

The extended permutohedron on a transitive binary relation [PDF]

, 2013
For a given transitive binary relation e on a set E, the transitive closures of open (i.e., co-transitive in e) sets, called the regular closed subsets, form an ortholattice Reg(e), the extended permutohedron on e.
Santocanale, Luigi, Wehrung, Friedrich
core   +4 more sources

Fixed Point Theorems for Nonexpansive Mappings under Binary Relations

Mathematics, 2021
In the present article, we establish relation-theoretic fixed point theorems in a Banach space, satisfying the Opial condition, using the R-Krasnoselskii sequence. We observe that graphical versions (Fixed Point Theory Appl.
Aftab Alam, Reny George, Mohammad Imdad, Md Hasanuzzaman   +3 more
doaj   +1 more source

Common Fixed Point Results for Almost ℛ_g-Geraghty Type Contraction Mappings in b₂-Metric Spaces with an Application to Integral Equations

Axioms, 2021
In this paper, we define almost Rg-Geraghty type contractions and utilize the same to establish some coincidence and common fixed point results in the setting of b2-metric spaces endowed with binary relations. As consequences of our newly proved results,
Samera M. Saleh, Salvatore Sessa, Waleed M. Alfaqih, Fawzia Shaddad   +3 more
doaj   +1 more source

Fixed Point Results via $\mathcal{G}$-Transitive Binary Relation and Fuzzy $\mathcal{L}$-$\mathcal{R}$-Contraction

Mathematics, 2023
In this study, we initiate the concept of fuzzy L-R-contraction and establish some fixed point results involving a G-transitive binary relation and fuzzy L-simulation functions, by employing suitable hypotheses on a fuzzy metric space endowed with a ...
Abdelhamid Moussaoui, Vesna Todorčević, Mirjana Pantović, Stojan Radenović, Said Melliani   +4 more
doaj   +1 more source