Results 1 to 10 of about 2,396,984 (305)

Almost Contractions under Binary Relations

Axioms, 2022
After the introduction of almost contraction due to Berinde, the branch of metric fixed point theory has attracted much attention in this direction, and various fixed point results have been proved for almost contractions via different approaches.
Faizan Ahmad Khan
doaj   +2 more sources

Binary relations and submaximal clones determined by central relation [PDF]

Discussiones Mathematicae - General Algebra and Applications, 2023
Y.L. Tenkeu Jeufack, Joseph Djoumessi, Etienne R. Temgoua Alomo   +2 more
doaj   +2 more sources

Aggregating Fuzzy Binary Relations and Fuzzy Filters

Discussiones Mathematicae - General Algebra and Applications, 2018
The main goal of this paper is to investigate the aggregation of diverse families of binary fuzzy relations, fuzzy filters, and fuzzy lattices. Some links between these families and their images via an aggregation are explored.
Amroune Abdelaziz, Aissa Bouad
doaj   +2 more sources

Geraghty Type Contractions in Relational Metric Space with Applications to Fractional Differential Equations

Fractal and Fractional, 2023
The present manuscript is devoted to investigating some existence and uniqueness results on fixed points by employing generalized contractions in the context of metric space endued with a weak class of transitive relation.
Ahmed Alamer, Nidal H. E. Eljaneid, Musaad S. Aldhabani, Nifeen H. Altaweel, Faizan Ahmad Khan   +4 more
doaj   +1 more source

Almost Nonlinear Contractions under Locally Finitely Transitive Relations with Applications to Integral Equations

Mathematics, 2023
This article consists of some new fixed point theorems verifying relation-theoretic strict almost nonlinear contractions that are preserved by a locally finitely transitive relation. Our results improve certain well-known results in the literature.
Faizan Ahmad Khan, Musaad S. Aldhabani, Ahmed Alamer, Esmail Alshaban, Fahad M. Alamrani, Hamid I. A. Mohammed   +5 more
doaj   +1 more source

A Relation-Theoretic Matkowski-Type Theorem in Symmetric Spaces

Axioms, 2021
In this paper, we present a fixed-point theorem in R-complete regular symmetric spaces endowed with a locally T-transitive binary relation R using comparison functions that generalizes several relevant existing results.
Based Ali, Mohammad Imdad, Salvatore Sessa   +2 more
doaj   +1 more source

Relational Contractions Involving Shifting Distance Functions with Applications to Boundary Value Problems

Axioms, 2023
This manuscript includes certain results on fixed points under a generalized contraction involving a pair of shifting distance functions in the framework of metric space endowed with a class of transitive relation.
Ebrahem Ateatullah Algehyne, Mounirah Areshi, Faizan Ahmad Khan   +2 more
doaj   +1 more source

Relation-theoretic almost ϕ-contractions with an application to elastic beam equations

AIMS Mathematics, 2023
In this article, we prove some results on existence and uniqueness of fixed points for an almost $ \phi $-contraction mapping defined on a metric space endowed with an amorphous relation.
Ebrahem A. Algehyne, Nifeen Hussain Altaweel, Mounirah Areshi, Faizan Ahmad Khan   +3 more
doaj   +1 more source

A Class of Relational Functional Contractions with Applications to Nonlinear Integral Equations

Mathematics, 2023
In this article, we investigate some fixed-point results under certain functional contractive mappings in a relation metric space. In the process, we utilize more general contraction condition which must be verified for comparative elements only.
Khursheed J. Ansari, Salvatore Sessa, Aftab Alam   +2 more
doaj   +1 more source

Relation-Theoretic Weak Contractions and Applications

Mathematics, 2023
In this article, we discuss the relation-theoretic aspects of weakly contractive mappings to prove fixed point results in the setting of metric spaces endowed with a certain binary relation.
Asik Hossain, Aftab Alam, Salvatore Sessa, Qamrul Haque Khan   +3 more
doaj   +1 more source