Results 11 to 20 of about 87,663 (288)

Representations of bornologies

open access: yesApplied General Topology, 2022
Bornologies abstract the properties of bounded sets of a metric space. But there are unbounded bornologies on a metric space like $\mathcal{P}(\RR)$ with the Euclidean metric.
Homeira Pajoohesh
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

Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
Let $mathcal{X}$ be a partially ordered set and $d$ be a generalized metric on $mathcal{X}$. We obtain some results in coupled and coupled coincidence of $g$-monotone functions on $mathcal{X}$, where $g$ is a function from $mathcal{X}$ into itself ...
Hasan Hosseinzadeh
doaj   +1 more source

Fixed point results with respect to a wt-distance in partially ordered b-metric spaces and its application to nonlinear fourth-order differential equation

open access: yesApplied General Topology, 2022
In this paper we study the existence of the fixed points for Hardy-Rogers type mappings with respect to a wt-distance in partially ordered metric spaces.
Reza Babaei   +2 more
doaj   +1 more source

The symmetric monoidal closed category of cpo $M$-sets [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2020
In this paper, we show that the category of directed complete posets with bottom elements (cpos) endowed with an action of a monoid $M$ on them forms a monoidal category. It is also proved that this category is symmetric closed.
Halimeh Moghbeli
doaj   +1 more source

Some applications of fixed point results for monotone multivalued and integral type contractive mappings

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering, 2023
The motivation of the present paper is to introduce and establish some new fixed point results for monotone multivalued functions in partially ordered complete D ∗ $D^{*}$ -metric spaces, where the partial ordered set ( X , ≤ ) $(X,\leq )$ is obtained ...
Nassar Aiman Majid   +3 more
doaj   +1 more source

Coincidence of Fixed Points with Mixed Monotone Property

open access: yesمجلة بغداد للعلوم, 2023
The purpose of this paper is to introduce and prove some coupled coincidence fixed point theorems for self mappings satisfying -contractive condition with rational expressions on complete partially ordered metric spaces involving altering distance ...
Amal M. Hashim, Ali A. Kazem
doaj   +1 more source

Faces of 2-Dimensional Simplex of Order and Chain Polytopes

open access: yesMathematics, 2019
Each of the descriptions of vertices, edges, and facets of the order and chain polytope of a finite partially ordered set are well known. In this paper, we give an explicit description of faces of 2-dimensional simplex in terms of vertices.
Aki Mori
doaj   +1 more source

Best proximity point results with their consequences and applications

open access: yesJournal of Inequalities and Applications, 2022
In the commenced work, we establish some best proximity point results for multivalued generalized contractions on partially ordered complete metric spaces along with the tactic of altering distance function.
Satyendra Kumar Jain   +3 more
doaj   +1 more source

An Efficient Algorithm for Decomposition of Partially Ordered Sets

open access: yesJournal of Mathematics, 2023
Efficient time complexities for partial ordered sets or posets are well-researched field. Hopcroft and Karp introduced an algorithm that solves the minimal chain decomposition in O (n2.5) time. Felsner et al.
Elsayed Badr   +3 more
doaj   +1 more source

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