Results 21 to 30 of about 1,010,486 (283)

A Relation-Theoretic Metrical Fixed Point Theorem for Rational Type Contraction Mapping with an Application

open access: yesAxioms, 2021
In this article, we discuss the relation theoretic aspect of rational type contractive mapping to obtain fixed point results in a complete metric space under arbitrary binary relation.
Asik Hossain   +2 more
doaj   +1 more source

Remarks on “Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation”

open access: yesAxioms, 2023
Since 1964, when I.A. Perov introduced the so-called generalized metric space where d(x,y) is an element of the vector space Rm, many researchers have considered various contractive conditions in this type of space.
Slobodanka Mitrović   +3 more
doaj   +1 more source

Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring [PDF]

open access: yesJournal of Hyperstructures, 2015
We introduce the notion of a multiplicative ternary hyperring, consider regular equivalences and strongly regular equivalences of a multiplicative ternary hyperring and investigate their properties.
Md Salim Masud Molla   +2 more
doaj   +1 more source

Nonlinear Relation-Theoretic Suzuki-Generalized Ćirić-Type Contractions and Application to Fractal Spaces

open access: yesFractal and Fractional, 2022
In this article, we introduce the idea of relation-theoretic Suzuki-generalized nonlinear contractions and utilized the same to prove some fixed point results in an ℜ-complete partial metric space.
Asik Hossain   +3 more
doaj   +1 more source

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

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

Scott-topology based on transitive binary relation [PDF]

open access: yesJournal of Mahani Mathematical Research, 2022
In the study of partially ordered sets, topologies such as Scott-topology have shown to be of paramount importance. In order to have analogous topology-like tools in the more general setting of quantitative domains, we introduce a method to construct ...
Osama Sayed, Nabil Hassan Sayed
doaj   +1 more source

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

open access: yesНаучный 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   +3 more
doaj   +1 more source

Compact Binary Relation Representations with Rich Functionality [PDF]

open access: yes, 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   +2 more
core   +2 more sources

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

Ordinal notions of submodularity [PDF]

open access: yes, 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.   +1 more
core   +2 more sources

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