Results 41 to 50 of about 1,010,486 (283)

Almost Boyd-Wong Type Contractions under Binary Relations with Applications to Boundary Value Problems

Axioms, 2023
This article is devoted to investigating the fixed point theorems for a new contracitivity contraction, which combines the idea involved in Boyd-Wong contractions, strict almost contractions and relational contractions.
Amal F. Alharbi, Faizan Ahmad Khan
doaj   +1 more source

On binary relations without non-identical endomorphisms

, 2000
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
core   +1 more source

Decrypting cancer's spatial code: from single cells to tissue niches

Molecular Oncology, EarlyView.
Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik, Shi Pan, Eloise Withnell, Hou Wang Lam, Maria Secrier   +4 more
wiley   +1 more source

Relational representations of algebraic lattices and their applications

Open Mathematics, 2022
In this paper, we define the concepts of strongly regular relation, finitely strongly regular relation, and generalized finitely strongly regular relation, and get the relational representations of strongly algebraic, hyperalgebraic, and quasi ...
Luo Shuzhen, Xu Xiaoquan
doaj   +1 more source

The Finite Satisfiability Problem for Two-Variable, First-Order Logic with one Transitive Relation is Decidable

, 2017
We consider the two-variable fragment of first-order logic with one distinguished binary predicate constrained to be interpreted as a transitive relation.
Pratt-Hartmann, Ian
core   +1 more source

Multi‐omic profiling of squamous cell lung cancer identifies metabolites and related genes associated with squamous cell carcinoma

Molecular Oncology, EarlyView.
Using multi‐omic characterization, we aimed to identify key regulators specific to squamous cell lung carcinoma (SqCC). SqCC‐specific differentially expressed genes were integrated with metabolics data. High expression of the creatine transporter SLC6A8, along with elevated creatine levels, appeared to be a distinct metabolic feature of SqCC.
Johan Staaf, Daniel Ehinger, Hans Brunnström, Mats Jönsson, Frida Rosengren, Marija Kotevska, Anna Karlsson, Mattias Aine, Christian Frezza, Maria Planck, Elsa Arbajian   +10 more
wiley   +1 more source

Relaxing the Φ-Family Auxiliary Functions and Related Results

Axioms
This article establishes the existence of fixed points and common fixed points for set-valued mappings satisfying an implicit-type contraction inequality involving a new auxiliary function in a complete metric space equipped with a binary relation ...
Salvatore Sessa, Yahya Almalki, Monairah Alansari, Muhammad Usman Ali, Essam Saleh Saad Said Al-Yari   +4 more
doaj   +1 more source

Detection of orbital and superhump periods in Nova V2574 Ophiuchi (2004)

, 2005
We present the results of 37 nights of CCD unfiltered photometry of nova V2574 Oph (2004) from 2004 and 2005. We find two periods of 0.14164 d (~3.40 h) and 0.14773 d (~3.55 h) in the 2005 data.
Alex Liu, Alon Retter, Bond H. E., Bonnet-Bidaud J. M., Diaz M. P., Geckeler R. D., Mason E., Mercedes Richards, Retter A., Rudy R. J., Semeniuk I., Stolz B., Tae W. Kang, Whitehurst R.   +13 more
core   +1 more source

In vitro properties of patient serum predict clinical outcome after high dose rate brachytherapy of hepatocellular carcinoma

Molecular Oncology, EarlyView.
Following high dose rate brachytherapy (HDR‐BT) for hepatocellular carcinoma (HCC), patients were classified as responders and nonresponders. Post‐therapy serum induced increased BrdU incorporation and Cyclin E expression of Huh7 and HepG2 cells in nonresponders, but decreased levels in responders.
Lukas Salvermoser, Jan Niklas Schäfer, Shraga Nahum Goldberg, Philipp Maximilian Kazmierczak, Moritz Nikolaus Gröper, Philipp Franz Linden, Elif Öcal, Tanja Burkard, Stefanie Corradini, Najib Ben Khaled, Moritz Wildgruber, Max Seidensticker, Jens Ricke, Matthias Stechele, Marianna Alunni‐Fabbroni   +14 more
wiley   +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