Results 21 to 30 of about 986,794 (335)

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

Groups and Algebras of Binary Relations [PDF]

The Bulletin of Symbolic Logic, 2002
AbstractIn 1941, Tarski published an abstract, finitely axiomatized version of the theory of binary relations, called the theory of relation algebras. He asked whether every model of his abstract theory could be represented as a concrete algebra of binary relations.
Givant, Steven, Andreka, Hajnal
openaire   +2 more sources

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.
Volodymyr Mazorchuk, Paul Martin
openaire   +4 more sources

A language hierarchy of binary relations

Information and Computation, 2020
19 pages, 2 figures (Several new examples added)
Tara Brough, Alan J. Cain
openaire   +4 more sources

Groups of binary relations

Semigroup Forum, 1970
It was shown in [3] that every finite group is the maximal subgroup of a semigroupBx of all binary relations on some finite set X. This result is extended here to arbitrary groups.
B. M. Schein, B. M. Schein, Robert J. Plemmons, Robert J. Plemmons   +3 more
openaire   +2 more sources

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