Results 21 to 30 of about 1,022,933 (334)

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

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

Renormalization of QED with planar binary trees [PDF]

, 2000
The renormalized photon and electron propagators are expanded over planar binary trees. Explicit recurrence solutions are given for the terms of these expansions.
Brouder, Christian, Frabetti, Alessandra
core   +2 more sources

On (Λ,Υ,ℜ)-Contractions and Applications to Nonlinear Matrix Equations

Mathematics, 2019
In this paper, we study the behavior of Λ , Υ , ℜ -contraction mappings under the effect of comparison functions and an arbitrary binary relation. We establish related common fixed point theorems.
Eskandar Ameer, Muhammad Nazam, Hassen Aydi, Muhammad Arshad, Nabil Mlaiki   +4 more
doaj   +1 more source

A language hierarchy of binary relations

Information and Computation, 2020
19 pages, 2 figures (Several new examples added)
Brough, Tara, Cain, Alan J.
openaire   +3 more sources

Notes on Knaster-Tarski Theorem versus Monotone Nonexpansive Mappings

Moroccan Journal of Pure and Applied Analysis, 2018
The purpose of this note is to discuss the recent paper of Espínola and Wiśnicki about the fixed point theory of monotone nonexpansive mappings. In their work, it is claimed that most of the fixed point results of this class of mappings boil down to the ...
Khamsi Mohamed Amine
doaj   +1 more source