Results 61 to 70 of about 326,332 (323)

Fixed point theorems for generalized weakly contractive mappings [PDF]

Surveys in Mathematics and its Applications, 2009
In this paper several fixed point theorems for generalized weakly contractive mappings in a metric space setting are proved. The set of generalized weakly contractive mappings considered in this paper contains the family of weakly contractive mappings as
Ramendra Krishna Bose, Mrinal Kanti Roychowdhury   +1 more
doaj  

Fixed point theorems for asymptotically contractive mappings [PDF]

, 2003
In this short paper, we prove fixed point theorems for nonexpansive mappings whose domains are unbounded subsets of Banach spaces. These theorems are generalizations of Penot's result in [Proc. Amer. Math.
Suzuki, Tomonari
core   +4 more sources

The multiplicativity of fixed point invariants

, 2013
We prove two general factorization theorems for fixed-point invariants of fibrations: one for the Lefschetz number and one for the Reidemeister trace. These theorems imply the familiar multiplicativity results for the Lefschetz and Nielsen numbers of a ...
Citterio, Dold, Jiang, Kate Ponto, Lewis, May, Michael Shulman, Ponto, Ponto, Shulman, You   +10 more
core   +1 more source

Gapless Superconductivity From Extremely Dilute Magnetic Disorder in 2H‐NbSe2‐xSx

Advanced Materials, EarlyView.
We demonstrate that 2H‐NbSe2‐xSx hosts gapless superconductivity at unexpectedly low magnetic impurity concentrations. Combining STM, Bogoliubovde Gennes simulations, DFT, and quasiparticle interference, we comprehensively study the development of gapless behavior and show that SeS substitution reshapes the band structure, enhances nesting, and drives ...
Jose Antonio Moreno, Mercè Roig, Víctor Barrena, Edwin Herrera, Alberto M. Ruiz, Samuel Mañas‐Valero, Antón Fente, Anita Smeets, Jazmín Aragón, Yanina Fasano, Beilun Wu, Maria N. Gastiasoro, Eugenio Coronado, José J. Baldoví, Brian M. Andersen, Isabel Guillamón, Hermann Suderow   +16 more
wiley   +1 more source

Plasmonic Nanomachines: Creating Local Potential Gradients and Motions

Advanced Materials, EarlyView.
Plasmonic nanomachines can generate optical, thermal, and chemical potential gradients to drive directional rectilinear, rotational, and twisting motions at the nanometer scale. The integration of multimodal plasmonic forces with functional materials and programmed structural distortions enables precise spatiotemporal actuation, thereby providing a ...
Yoonhee Kim, Soohyun Ji, Donghyun Choi, Jwa‐Min Nam   +3 more
wiley   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

Advanced Robotics Research, EarlyView.
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun, Liang Zhang, Jianwen Zeng, Xuefeng Wang   +3 more
wiley   +1 more source

Waveguide Photoactuators: Materials, Fabrication, and Applications

Advanced Robotics Research, EarlyView.
Waveguide photoactuators convert guided light into mechanical motion. Their tethered‐flexible design enables minimally invasive surgery and confined‐space robotics. This review aims to guide materials selection, device design, and system integration, accelerating the transition of waveguide photoactuators from laboratory prototypes to versatile ...
Minjie Xi, Hemin Pan, Yang Zong, Yongfeng Mei, Jizhai Cui   +4 more
wiley   +1 more source

Consensus Formation and Change are Enhanced by Neutrality

Advanced Science, EarlyView.
Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag, Janina A. Hoffmann, Tim Rogers, Christian A. Yates   +3 more
wiley   +1 more source

New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness

Abstract and Applied Analysis, 2013
Some new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without global completeness are established in this paper.
Wei-Shih Du
doaj   +1 more source

Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain

Advanced Science, EarlyView.
A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio, Tommaso Gili, Andrea Gabrielli, Maurizio Mattia   +3 more
wiley   +1 more source