Results 71 to 80 of about 5,787,725 (306)

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

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

On common fixed point theorems for three and four self mappings satisfying contractive conditions [PDF]

, 2010
summary:In this contribution, we discuss some unique common fixed point theorems for three and four occasionally weakly compatible mappings satisfying different types of contractive ...
Bouhadjera, Hakima
core   +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

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

Approximation Theorems and Fixed Point Theorem in Cones [PDF]

Proceedings of the American Mathematical Society, 1988
In this paper, we investigate the validity of an interesting theorem of Fan [ 3 , Theorem 2] in cones. We prove that it is true for a continuous condensing map defined on a closed ball in cones.
openaire   +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

Random fixed point theorems for asymptotic 1-set contraction operators

International Journal of Mathematics and Mathematical Sciences, 2002
Random fixed point theorems for condensing, 1-set contraction selfless are known. But no random fixed point theorem for more general asymptotic 1-set contraction selfmaps is yet available.
P. Vijayaraju
doaj   +1 more source