Results 61 to 70 of about 6,012,202 (297)

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.
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

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

Fixed Point Theorem for Uncommuting Mappings

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
   In this paper we prove a theorem about the existence and uniqueness common fixed point for two uncommenting self-mappings which defined on orbitally complete G-metric space. Where we use a general contraction condition.  
Salwa S. Abd, Alaa Abd-ullah
doaj  

A fixed point theorem for multivalued mappings

Electronic Journal of Qualitative Theory of Differential Equations, 2004
A generalization of the Leray-Schauder principle for multivalued mappings is given. Using this result, an existence theorem for an integral inclusion is obtained.
C. Avramescu
doaj   +1 more source

A fixed point theorem for operators of Meir–Keeler type via the degree of nondensifiability and its application in dynamic programming

, 2020
In this paper, we prove a fixed point theorem for operators of Meir–Keeler type by using the concept of degree of nondensifiability. As an application of our result, we study the existence of solutions for a class of functional equations appearing in ...
Sadarangani, K., Harjani, J., Caballero, J.   +2 more
core   +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

Fixed Point Theorem in Fuzzy Metric Space

Fuzzy Optimization and Modeling
In this present work, we prove fixed point theorem for contractive mapping F: X--X in fuzzy metric spaces that have a nonempty F− invariant complete subspace E, then prove the uniqueness the fixed point in E.
Samaneh Ghods
doaj   +1 more source

A Generalization of Kannan's Fixed Point Theorem

Fixed Point Theory and Applications, 2009
In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point.
Yusuke Enjouji, Masato Nakanishi, Tomonari Suzuki   +2 more
doaj   +1 more source