Results 51 to 60 of about 130,478 (251)

On the existence of best proximity points for generalized contractions

open access: yesApplied General Topology, 2014
In this article we establish the existence of a unique best proximity point for some generalized non self contractions on a metric space in a simpler way using a geometric result.
V. Vetrivel, Asrifa Sultana
doaj   +1 more source

Existence and convergence of best proximity points for generalized pseudo-contractive and Lipschitzian mappings via an Ishikawa-type iterative scheme

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering, 2023
In this article, we prove the existence of the best proximity point for the class of nonself generalized pseudo-contractive and Lipschitzian mappings. Also, we approximate the best proximity point through the proposed Ishikawa’s iteration process for the
V. Pragadeeswarar, R. Gopi
doaj   +1 more source

Spatial biology in cancer epigenetics

open access: yesMolecular Oncology, EarlyView.
Spatial epigenomics combines molecular profiling with tissue architecture to reveal how gene regulation is organized within intact tissues. In cancer, these technologies uncover the mechanisms driving tumor heterogeneity and microenvironmental interactions, opening new opportunities for biomarker discovery and precision medicine.
Eva Crespo‐García, Manel Esteller
wiley   +1 more source

Tripled Fixed Points and Tripled Best Proximity Points in Modular Function Spaces

open access: yesAppliedMath
We establish a modular-space framework for the study of tripled fixed points and tripled best proximity points. Under suitable assumptions on the underlying modular (convexity, the Δ2 property, uniform continuity, and uniform convexity-type properties ...
Aynur Ali   +4 more
doaj   +1 more source

On Best Proximity Points in Metric and Banach Spaces [PDF]

open access: yesCanadian Journal of Mathematics, 2011
Abstract In this paper we study the existence and uniqueness of best proximity points of cyclic contractions as well as the convergence of iterates to such proximity points. We take two different approaches, each one leading to different results that complete, if not improve, other similar results in the theory.
Espínola García, Rafael   +1 more
openaire   +4 more sources

Automated FRAP microscopy for high‐throughput analysis of protein dynamics in chromatin organization and transcription

open access: yesFEBS Open Bio, EarlyView.
RoboMic is an automated confocal microscopy pipeline for high‐throughput functional imaging in living cells. Demonstrated with fluorescence recovery after photobleaching (FRAP), it integrates AI‐driven nuclear segmentation, ROI selection, bleaching, and analysis.
Selçuk Yavuz   +6 more
wiley   +1 more source

Corrigendum to the paper “Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings”

open access: yesDemonstratio Mathematica, 2021
The purpose of this short note is to present a correction of the proof of the main result given in the paper “Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings,” Demonstr.
Gabeleh Moosa
doaj   +1 more source

Molecular dynamics simulations of positively selected codons in FcγRI reveal novel biochemical binding properties

open access: yesFEBS Open Bio, EarlyView.
Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young   +7 more
wiley   +1 more source

Directed evolution of enzymes at the crossroads of tradition and innovation

open access: yesFEBS Open Bio, EarlyView.
An iterative cycle of data‐driven enzyme optimization comprising four stages: genetic diversification of a template enzyme, expression of protein variants, high‐throughput evaluation, and machine‐learning‐guided redesign of the next variant library.
Maria Tomkova   +2 more
wiley   +1 more source

Best proximity points of p-cyclic orbital Meir–Keeler contraction maps

open access: yesNonlinear Analysis, 2016
Let (X,d) be a metric space and A1, A2, ..., Ap be nonempty subsets of X. We introduce a self map T on X, called p-cyclic orbital contraction map on the union of A1, A2, ..., Ap and obtain a unique best proximity point of T.
Saravanan Karpagam, Boyan Zlatanov
doaj   +1 more source

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