Results 31 to 40 of about 4,302,979 (374)

Relation Theoretic Common Fixed Point Results for Generalized Weak Nonlinear Contractions with an Application

open access: yesAxioms, 2019
In this paper, by introducing the concept of generalized Ćirić-type weak ( ϕ g , R ) -contraction, we prove some common fixed point results in partial metric spaces endowed with binary relation R .
Atiya Perveen   +2 more
doaj   +1 more source

Relation-theoretic metrical coincidence theorems under weak C-contractions and K-contractions

open access: yesAIMS Mathematics, 2021
In this paper, we prove some coincidence point theorems for weak C-contractions and K-contractions involving a new auxiliary function in a metric space endowed with a locally f-transitive binary relation.
Faruk Sk, Asik Hossain , Qamrul Haq Khan
doaj   +1 more source

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

open access: yesAxioms, 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   +3 more
doaj   +1 more source

The extended permutohedron on a transitive binary relation [PDF]

open access: yes, 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

open access: yesMathematics, 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   +3 more
doaj   +1 more source

A language hierarchy of binary relations

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

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

open access: yesMathematics, 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   +2 more
doaj   +1 more source

Divisibility of binary relations [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1971
In his paper in Mat. Sb. (N.S.) 61 (103) (1963), Zareckiĭ associated with any binary relation α an ordered pair, (Lα Mα), say, of lattices and showed that α is a left [right] divisor of β if and only if We provide an alternative proof of this result by embedding the category of relations in the category of sets.
D. G. FitzGerald, G. B. Preston
openaire   +2 more sources

Interfacial properties of binary mixtures of simple fluids and their relation to the phase diagram.

open access: yesPhysical Chemistry, Chemical Physics - PCCP, 2020
Interfacial properties of binary fluid mixtures were studied using both molecular dynamics (MD) simulations and density gradient theory (DGT). The focus of the study is on the relation of the interfacial properties to the phase diagram of the mixture ...
S. Stephan, H. Hasse
semanticscholar   +1 more source

Groups of binary relations

open access: yesSemigroup 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   +3 more
openaire   +2 more sources

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