Results 61 to 70 of about 1,311,479 (362)
Extension of Zorn's lemma to arbitrary binary relations [PDF]
arXiv, 2022 In this note, the Zorn lemma is extended to arbitrary binary relations and thus the Zorn lemma can do for optimization when the transitivity is broken. Zorn's extended lemma can be used to prove existence theorems of generalized solution concepts for binary relations that do not have maximal elements.
arxiv
Identification of novel small molecule inhibitors of ETS transcription factors
FEBS Letters, EarlyView.ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved E‐Twenty‐Six
Shaima Abdalla +9 more
wiley +1 more source
Relational Almost (ϕ,ψ)-Contractions and Applications to Nonlinear Fredholm Integral Equations
AxiomsThis paper deals with the fixed-point findings under relational strict almost (ϕ,ψ)-contraction. Our findings complement and strengthen prevailing results.
Fahad M. Alamrani +5 more
doaj +1 more source
Compositions and decompositions of binary relations [PDF]
arXiv, 2021 It is well-known that to every binary relation on a non-void set I there can be assigned its incidence matrix, also in the case when I is infinite. We show that a certain kind of "multiplication" of such incidence matrices corresponds to the composition of the corresponding relations. Using this fact we investigate the solvability of the equation R o X
arxiv
Two-variable Logic with Counting and a Linear Order [PDF]
, 2015 We study the finite satisfiability problem for the two-variable fragment of first-order logic extended with counting quantifiers (C2) and interpreted over linearly ordered structures.
Charatonik, Witold, Witkowski, Piotr
core +3 more sources
On the Structure of Acyclic Binary Relations
, 2018 We investigate the structure of acyclic binary relations from different points of view. On the one hand, given a nonempty set we study real-valued bivariate maps that satisfy suitable functional equations, in a way that their associated binary relation is acyclic. On the other hand, we consider acyclic directed graphs as well as their representation by
Rodríguez Alcantud, José Carlos +4 more
openaire +4 more sources
Social context prevents heat hormetic effects against mutagens during fish development
FEBS Letters, EarlyView.This study shows that sublethal heat stress protects fish embryos against ultraviolet radiation, a concept known as ‘hormesis’. However, chemical stress transmission between fish embryos negates this protective effect. By providing evidence for the mechanistic molecular basis of heat stress hormesis and interindividual stress communication, this study ...
Lauric Feugere +5 more
wiley +1 more source
Fractal and FractionalThis study explores innovative insights into the realms of dynamic programming and fractional differential equations, situated explicitly within the framework of partial modular b-metric spaces enriched with a binary relation R, proposing a novel ...
Abdurrahman Büyükkaya +3 more
doaj +1 more source
Refinements to Relation-Theoretic Contraction Principle
Axioms, 2022 After the appearance of relation-theoretic contraction principle proved in a metric space equipped with an amorphous binary relation (often termed as relational metric space), various core fixed point results have been proved in the setting of different ...
Aftab Alam, Reny George, Mohammad Imdad
doaj +1 more source
Completeness properties of transitive binary relational sets [PDF]
arXiv, 2020 The present paper is devoted to study some completeness properties of transitive binary relational set, i.e., a set together with a transitive binary relation (so called t-set).
arxiv