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New Relation-Theoretic Fixed Point Theorems in Fuzzy Metric Spaces with an Application to Fractional Differential Equations

open access: yesAxioms, 2022
In this paper, we introduce the notion of fuzzy R−ψ−contractive mappings and prove some relevant results on the existence and uniqueness of fixed points for this type of mappings in the setting of non-Archimedean fuzzy metric spaces. Several illustrative
Samera M. Saleh   +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

The Stability and Well-Posedness of Fixed Points for Relation-Theoretic Multi-Valued Maps

open access: yesMathematics, 2023
The purpose of this study is to present fixed-point results for Suzuki-type multi-valued maps using relation theory. We examine a range of implications that arise from our primary discovery.
Isaac Karabo Letlhage   +3 more
doaj   +1 more source

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

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

Binary relations in the space of binary relations. I. [PDF]

open access: yesApplied Mathematical Sciences, 2014
This article formulates principles of extension, saturation and convergence, and shows how to implement them. In socio-economic systems, there are "reference groups", with the indicators of which the results of the research and experimentation are compared.
openaire   +1 more source

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

open access: yesMathematics, 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   +4 more
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

Partitioned Binary Relations

open access: yesMATHEMATICA 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

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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