Results 41 to 50 of about 569,019 (209)
Impact of Stellar Dynamics on the Frequency of Giant Planets in Close Binaries [PDF]
Hostile tidal forces may inhibit the formation of Jovian planets in binaries with semimajor axes of ≾50 AU, binaries that might be called "close" in this context. As an alternative to in situ planet formation, a binary can acquire a giant planet when one
Muterspaugh, Matthew, Pfahl, Eric
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Relation-theoretic metrical coincidence and common fixed point theorems under nonlinear contractions
In this paper, we prove coincidence and common fixed points results under nonlinear contractions on a metric space equipped with an arbitrary binary relation.
Md Ahmadullah+2 more
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Fixed Point Theorems for Nonexpansive Mappings under Binary Relations
In the present article, we establish relation-theoretic fixed point theorems in a Banach space, satisfying the Opial condition, using the R-Krasnoselskii sequence. We observe that graphical versions (Fixed Point Theory Appl.
Aftab Alam+3 more
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Ordinal notions of submodularity [PDF]
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
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Compressed Data Structures for Binary Relations in Practice
Binary relations are commonly used in Computer Science for modeling data. In addition to classical representations using matrices or lists, some compressed data structures have recently been proposed to represent binary relations in compact space, such ...
Carlos Quijada Fuentes+3 more
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Operations on binary relations
AbstractThe effects of five basic operations (asymmetrization, complementation, dualization, symmetrization, transitive closure) on binary relations are examined. Identifies between compound operations are developed (e.g. the symmetric part of the transitive closure of the complement of the transitive closure equals the transitive closure of the ...
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Normal forms for binary relations [PDF]
AbstractWe consider the representable equational theory of binary relations, in a language expressing composition, converse, and lattice operations. By working directly with a presentation of relation expressions as graphs we are able to define a notion of reduction which is confluent and strongly normalizing and induces a notion of computable normal ...
Dougherty, Daniel J.+1 more
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On binary relations without non-identical endomorphisms
On every set A there is a rigid binary relation, i.e. such a relation R that there is no homomorphism (A,R)->(A,R) except the identity (Vopenka et al. [1965]). We state two conjectures which strengthen this theorem.
Tyszka, Apoloniusz
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Some fixed point theorems for (CAB)-contractive mappings and related results [PDF]
In this paper, we introduced the concept of (CAB)-contractive mappings and provide sufficient conditions for the existence and uniqueness of a fixed point for such class of generalized nonlinear contractive mappings in metric spaces and several ...
Ansari Hojat Arslan+2 more
doaj
Binary Relations as a Foundation of Mathematics [PDF]
We describe a theory for binary relations in the Zermelo-Fraenkel style. We choose for ZFCU, a variant of ZFC Set theory in which the Axiom of Foundation is replaced by an axiom allowing for non-wellfounded sets.
Kuper, J.
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