Results 61 to 70 of about 9,423 (265)

Duality Fixed Point and Zero Point Theorems and Applications

Abstract and Applied Analysis, 2012
The following main results have been given. (1) Let E be a p-uniformly convex Banach space and let T:E→E* be a (p-1)-L-Lipschitz mapping with condition ...
Qingqing Cheng, Yongfu Su, Jingling Zhang   +2 more
doaj   +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

Some Integral Type Fixed Point Theorems for Non-Self-Mappings Satisfying Generalized (ψ,φ)-Weak Contractive Conditions in Symmetric Spaces

Abstract and Applied Analysis, 2014
The aim of this paper is to obtain some new integral type fixed point theorems for nonself weakly compatible mappings in symmetric spaces satisfying generalized (ψ,φ)-contractive conditions employing the common limit range property.
Marwan Amin Kutbi, Mohammad Imdad, Sunny Chauhan, Wutiphol Sintunavarat   +3 more
doaj   +1 more source

FIXED POINT THEOREM FOR MULTIFUNCTIONS

Demonstratio Mathematica, 1984
This paper proves a fixed point theorem for multifunctions by the Ekeland variational principle. As an application a theorem of Lusternik is reobtained, but the argument seems not entirely correct. Using the author's notation, the following counterexample may be considered: \(X=Y\), \(H(x)=x\), \(u=x\), \(T=I\), \(x_ 0=0\). Then p is arbitrary positive,
openaire   +2 more sources

The complexity of Tarski’s fixed point theorem

Theoretical Computer Science, 2008
The Knaster-Tarski theorem says that for every complete lattice \(L\), every order-preserving mapping \(f:L\to L\) has a fixed point. This paper studies the query complexity of this problem. The authors present an algorithm that, for a given complete finite lattice \(L\) and an order-preserving mapping \(f\) of \(L\) given by an oracle, finds a fixed ...
Ching-Lueh Chang, Yuh-Dauh Lyuu, Yen-Wu Ti   +2 more
openaire   +2 more sources

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, Stéphane Le Roux 0001, Joseph S. Miller, Arno Pauly   +3 more
openaire   +2 more sources

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

New High‐Tc Charge‐Transfer Multiferroicity in the Quasi‐2D Antiferromagnet CrSbS3

Advanced Science, EarlyView.
ABSTRACT Low‐dimensional magnets, particularly 2D systems, offer a rich platform for realizing unconventional multiferroic mechanisms, especially when multiple polarization channels coexist. In the quasi‐2D antiferromagnet CrSbS3, which crystallizes in the centrosymmetric orthorhombic space group Pnma and orders magnetically at TN ≈ 90 K, two ...
Hung‐Cheng Wu, Yu‐Hsin Liao, Chih‐Chung Tsai, Pei‐Ying Yang, Yu‐Hao Chang, Yu‐Hui Liang, D. Chandrasekhar Kakarla, Ajay Tiwari, C. Dhanasekhar, Chin‐Wei Wang, Daisuke Okuyama, Chia‐Nung Kuo, Chin‐Shan Lue, Tzu‐Hsuan Weng, Kung‐Hsuan Lin, Jau‐Wern Chiou, Chi‐Hung Lee, Hung‐Duen Yang   +17 more
wiley   +1 more source

Functional Disorder at the Neural Interface: How Disordered Nanostructures Promote Proper Growth and Differentiation in In Vitro Neural Cultures

Advanced Science, EarlyView.
This work provides a practical guide for neuroengineers to design advanced neural interfaces, embracing and tailoring the concept of functional disorder. By bridging 2D and 3D in vitro models, this work highlights how non‐periodic, spatially heterogeneous, multiscale nanotopography can enable more physiologically relevant platforms for studying neural ...
F. Maita, E. Palmieri, I. Lucarini, L. Montaina, L. Maiolo   +4 more
wiley   +1 more source

A Wireless 3D Magneto‐Mechanical Stimulation Platform Drives In Situ Chondrogenic Commitment of Endogenous MSCs

Advanced Science, EarlyView.
An intracellular magneto‐mechanical platform utilizing MSC‐targeted nanomotors is developed. After intra‐articular delivery, these nanomotors target endogenous BMSCs and are actuated within lysosomes to execute trans‐planar rotational‐bouncing motions under a rotating‐fluctuating 3D magnetic field, generating amplified mechanical stimulation.
Zhenguang Li, Li Peng, Laiya Lu, Yingying Wang, Xiaolei Chen, Feng Yin, Cuijun Deng, Yu Cheng   +7 more
wiley   +1 more source