Results 51 to 60 of about 5,813,281 (301)
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 +3 more
wiley +1 more source
A fixed point theorem for contraction mappings
International Journal of Mathematics and Mathematical Sciences, 1982 Let S be a closed subset of a Banach space E and f:S→E be a strict contraction mapping. Suppose there exists a mapping h:S→(0,1] such that (1−h(x))x+h(x)f(x)∈S for each x∈S. Then for any x0∈S, the sequence {xn} in S defined by xn+1=(1−h(xn))xn+h(xn)f(xn),
V. M. Sehgal
doaj +1 more source
Fixed point theorems for set-valued contraction type maps in metric spaces
, 2010 We first give some fixed point results for set-valued self-map contractions in complete metric spaces. Then we derive a fixed point theorem for nonself set-valued contractions which are metrically inward. Our results generalize many well-known results in
Amini-Harandi, A, O'Regan, D
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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 +4 more
wiley +1 more source
Operator type expansion-compression fixed point theorem
Electronic Journal of Differential Equations, 2011 This article presents an alternative to the compression and expansion fixed point theorems of functional type by using operators and functions to replace the functionals and constants that are used in functional compression and expansion fixed point ...
Douglas R. Anderson +3 more
doaj
On the Lefschetz Fixed Point Theorem [PDF]
, 2005 The abstract version of the Lefschetz fixed point theorem is proved which states the following: If \(X\) is a metric space and if \(X_0\subset X\) is such that \(X_0\) absorbs compact sets, \(f\:X\to X\) is a continuous map, \(f(X_0) \subset X_0\) and \(f/X_0\) is a Lefschetz map, then \(f\) is also (on \(X\)) a Lefschetz map. Here a continuous map \(f\
openaire +2 more sources
Fixed Point Theorems on Partial Randomness [PDF]
Annals of Pure and Applied Logic, 2008 In our former work [K. Tadaki, Local Proceedings of CiE 2008, pp.425-434, 2008], we developed a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities at temperature T, such as free energy F(T), energy E(T), and statistical mechanical entropy S(T), into the theory.
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The Brouwer Fixed Point Theorem Revisited [PDF]
, 2016 We revisit the investigation of the computational content of the Brouwer Fixed Point Theorem in [7], and answer the two open questions from that work. First, we show that the computational hardness is independent of the dimension, as long as it is greater than 1 (in [7] this was only established for dimension greater than 2).
Vasco Brattka +3 more
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On A Fixed Point Theorem For The Product Of Operators
, 2017 In this paper, we study the existence of fixed points for the product of nonlinear operators. This kind of fixed point theorems is necessary in consideration of quadratic differential and integral problems.
Cichoń M., Metwali M.M.A.
core +1 more source
Advanced Robotics Research, EarlyView.This study presents a soft pneumatic fabric bidirectional actuation module (PNEUMA) capable of generating high torque in both bending directions within a single integrated architecture. PNEUMA achieves up to 50 Nm with reduced inflation volume and a lightweight design.
Odysseas Simatos +2 more
wiley +1 more source