Results 51 to 60 of about 315,233 (274)
COUPLED FIXED POINT THEOREMS OF INTEGRAL TYPE MAPPINGS IN CONE METRIC SPACES [PDF]
In this paper, we prove some coupled fixed point theorems in cone metric spaces. Furthermore, we introduce and prove the integral version of coupled fixed point theorems in cone metric spaces.
Akewe, H, Okeke, G.A., Olaleru, J.O.
core
Fixed point theorems for $\alpha$--contractive mappings of Meir--Keeler type and applications
In this paper, we introduce the notion of $\alpha$--contractive mapping of Meir--Keeler type in complete metric spaces and prove new theorems which assure the existence, uniqueness and iterative approximation of the fixed point for this type of ...
Berzig, Maher, Rus, Mircea-Dan
core +1 more source
Plasmonic Nanomachines: Creating Local Potential Gradients and Motions
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 +3 more
wiley +1 more source
Fixed point theorems for generalized weakly contractive mappings [PDF]
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 +1 more
doaj
The multiplicativity of fixed point invariants
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 +10 more
core +1 more source
Stacked nanoflake assembly (SNA) membranes can oscillate autonomously, offering opportunities for soft actuation and energy harvesting. This work uncovers the physical mechanism behind the sustained oscillation of SNA membranes in gradient humidity and identifies three governing dimensionless parameters, enabling rational design for optimizing SNA ...
Zijing Zhang +5 more
wiley +1 more source
Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
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 +3 more
wiley +1 more source
Partial metric spaces with negative distances and fixed point theorems [PDF]
In this paper we consider partial metric spaces in the sense of O'Neill. We introduce the notions of strong partial metric spaces and Cauchy functions.
Assaf, Samer, Pal, Koushik
core
Waveguide Photoactuators: Materials, Fabrication, and Applications
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 +4 more
wiley +1 more source
Consensus Formation and Change are Enhanced by Neutrality
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 +3 more
wiley +1 more source

