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Best proximity points of cyclic mappings
Applied Mathematics Letters, 2012 Let \(A\) and \(B\) be nonempty closed subsets of a complete metric space \((X,d)\). A map \(T: A \cup B \rightarrow A \cup B\) is called cyclic if \(T(A) \subset B\) and \(T(B) \subset A\). A point \(x \in A \cup B\) is called a best proximity point for \(T\) if \(d(x,T(x))\) coincides with the infimum of the set \(\{ d(a,b) : a \in A,\, b \in B \}\).
openaire +2 more sources
Advanced Functional Materials, EarlyView.Fluorescent nanodiamonds (fNDs) have emerged as an invaluable quantum sensing platform for biological and biochemical systems. This paper investigates the influence of common surface functionalization strategies for bioconjugation on the quantum properties of nitrogen vacancy (NV) centers in nanodiamonds.
Anja Sadžak +6 more
wiley +1 more source
SI‐bioATRP in Mesoporous Silica for Size‐Exclusion Driven Local Polymer Placement
Advanced Functional Materials, EarlyView.An enzyme‐catalyzed surface‐initiated atom transfer radical polymerization (SI‐bioATRP) of an anionic monomer within mesoporous silica particles, using hemoglobin as a catalyst, allows for controlling the location of the formed polymer via size‐exclusion effects between the nanopores and the biomacromolecules, thereby opening routes to functional ...
Oleksandr Wondra +8 more
wiley +1 more source
BEST PROXIMITY POINTS FOR GENERALIZED MULTIVALUED CONTRACTIONS IN METRIC SPACES [PDF]
, 2015 Nazari, Esmaeil
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Advanced Functional Materials, EarlyView.A chiral photodetector capable of selectively distinguishing left‐ and right‐handed circularly polarized light is experimentally demonstrated. The device, which features a nanopatterned electrode inverse‐designed by a genetic algorithm within a metal–dielectric–metal nanocavity that incorporates a vacuum‐deposited small‐molecule multilayer, exhibits ...
Kyung Ryoul Park +3 more
wiley +1 more source
Best proximity points and extension of Mizoguchi-Takahashi’s fixed point theorems [PDF]
, 2013 Erdal Karapınar +3 more
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Charge Transport in Ternary Charge‐Transfer Solid Solution Single Crystals
Advanced Functional Materials, EarlyView.This study deconvolutes the roles of indirect (superexchange) and direct electronic coupling on charge transport in single crystals of an organic charge‐transfer molecular semiconductor (OSC). This model system elegantly demonstrates that structural defects introduced by chemical dopants play a significant role in the electronic performance ...
Jonathan C. Novak +7 more
wiley +1 more source
Nonlinear conditions for the existence of best proximity points [PDF]
, 2012 Hossein Lakzian, Wei-Shih Du
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Digital Actuation Control of Soft Robotic Origami With Self‐Folding Liquid Crystal Elastomer Hinges
Advanced Functional Materials, EarlyView.Self‐folding soft‐rigid hybrid robotic origami is enabled by liquid crystal elastomer actuators with embedded Joule heating and closed‐loop digital control. Digitally addressable hinges provide reversible and programmable transitions between distinct folded states while maintaining actuation performance at high cycle counts (over 1500).
David C. Bershadsky +3 more
wiley +1 more source
Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs
International Journal of Analysis and Applications, 2014 In this article, we introduce the notion of a semi cyclic ϕ-contraction pair of mappings, which contains semi cyclic contraction pairs as a subclass.
Balwant Singh Thakur, Ajay Sharma
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