Results 41 to 50 of about 1,311,479 (362)
AIMS Mathematics, 2020 In this paper, we introduce a new implicit function without any continuity requirement and utilize the same to prove unified relation-theoretic fixed point results. We adopt some examples to exhibit the utility of our implicit function.
Waleed M. Alfaqih +3 more
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Coupled fixed point sets with data-dependence and stability [PDF]
Surveys in Mathematics and its Applications, 2022 In this paper we establish a coupled fixed point theorem of a coupled multivalued mapping defined on a complete metric space. In our result we use a new contractive inequality. There are rational terms in the expression of the inequality. The contractive
Binayak S. Choudhury +2 more
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Tukey morphisms between finite relations [PDF]
arXiv, 2023 We investigate Tukey morphisms between binary relations, establishing several fundamental lemmas. We then specialize to finite binary relations, using computational methods to classify all binary relations with at most $6$ points in the domain and codomain up to bimorphism.
arxiv
Groups and Algebras of Binary Relations [PDF]
The Bulletin of Symbolic Logic, 2002 AbstractIn 1941, Tarski published an abstract, finitely axiomatized version of the theory of binary relations, called the theory of relation algebras. He asked whether every model of his abstract theory could be represented as a concrete algebra of binary relations.
Givant, Steven, Andreka, Hajnal
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Perov Fixed-Point Results on F-Contraction Mappings Equipped with Binary Relation
Mathematics, 2023 The purpose of this article is to discuss some new aspects of the vector-valued metric space. The idea of an arbitrary binary relation along with the well-known F contraction is used to demonstrate the existence of fixed points in the context of a ...
Fahim Ud Din +3 more
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Multivalued Mizoguchi-Takahashi type rational contraction in relational metric spaces [PDF]
Surveys in Mathematics and its Applications, 2023 In this paper we establish a result in the fixed point theory of multivalued mappings. This is done by combining three prevalent trends in fixed point theory. Some consequences of the main theorem are discussed.
Binayak S. Choudhury +3 more
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Notes on Knaster-Tarski Theorem versus Monotone Nonexpansive Mappings
Moroccan Journal of Pure and Applied Analysis, 2018 The purpose of this note is to discuss the recent paper of Espínola and Wiśnicki about the fixed point theory of monotone nonexpansive mappings. In their work, it is claimed that most of the fixed point results of this class of mappings boil down to the ...
Khamsi Mohamed Amine
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Relation-Theoretic Contraction Principle In Metric Spaces Using Multiplicative Contraction
Ratio Mathematica, 2023 Alam and Imdad have presented a novel application of the Banach contraction principle on a complete metric spaces with a binary relation. We have extended the concept of binary relation with the multiplicative contraction in a complete metric spaces.
Radha Yadav, Balbir Singh
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Dependences related to strict binary relations
Theoretical Computer Science, 2005 AbstractIn this paper we study dependences on a free monoid X* and their relations to strict binary relations on X*. As a consequence we characterize strict binary relations by the notion of dependence. Moreover, some results concerning the relationship between dependences and codes are also obtained.
Shyr-Shen Yu, Y. T. Yeh, H. K. Hsiao
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Selective games on binary relations
Topology and its Applications, 2015 28 ...
Dias, Rodrigo R., Scheepers, Marion
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