Results 111 to 120 of about 1,126,383 (361)

A Short And Constructive Proof of Tarski's Fixed-Point Theorem [PDF]

open access: yes
I give short and constructive proofs of Tarski's fixed-point theorem, and of a much-used extension of Tarski's fixed-point theorem to set- valued maps.tarski, fixed-point theorem, supermodular, supermodular games, strategic complementarities, equilibrium
Federico Echenique
core  

A Clarification on Quantum‐Metric‐Induced Nonlinear Transport

open access: yesAdvanced Science, EarlyView.
How does the quantum metric truly govern the nonlinear transport? The longstanding theoretical discrepancies are resolved in quantum‐metric‐induced nonlinear transport and the correct intrinsic nonlinear conductivity is identified. Furthermore, a toy model is engineered to suppress the competing effects, uniquely highlighting the role of quantum metric
Xiao‐Bin Qiang   +4 more
wiley   +1 more source

Fixed point theorem utilizing operators and functionals

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
This paper presents a fixed point theorem utilizing operators and functionals in the spirit of the original Leggett-Williams fixed point theorem which is void of any invariance-like conditions.
Douglas Anderson   +3 more
doaj   +1 more source

Fixed point theorem for weakly Chatterjea-type cyclic contractions

open access: yes, 2013
In this article, we introduce the notion of a Chatterjea-type cyclic weakly contraction and derive the existence of a fixed point for such mappings in the setup of complete metric spaces.
S. Chandok, M. Postolache
semanticscholar   +1 more source

Wave‐Partition‐Governed Dual‐Site Spallation in Single Crystals

open access: yesAdvanced Science, EarlyView.
Crystalline anisotropy shapes shock‐wave propagation and the resulting damage evolution in single crystals. Large‐scale molecular dynamics and damage modeling uncover a dual‐spallation mechanism driven by anisotropic elasticplastic wave separation, which mitigates damage accumulation.
Youlin Zhu   +6 more
wiley   +1 more source

Imperfection in Semiconductors Leading to High Performance Devices

open access: yesAdvanced Science, EarlyView.
Crystalline perfection is typically pursued in semiconductors to enhance device performance. However, through modeling and experimental work, we show that defects can be strategically employed in a specific detection regime to increase sensitivity to extreme values. GaN diodes are demonstrated to effectively detect high‐energy proton beams at fluxes as
Jean‐Yves Duboz   +8 more
wiley   +1 more source

The Existence of Cone Critical Point and Common Fixed Point with Applications

open access: yesJournal of Applied Mathematics, 2011
We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem ...
Wei-Shih Du
doaj   +1 more source

A Noncontractive Fixed Point Theorem [PDF]

open access: yesProceedings of the American Mathematical Society, 1970
The sequence Txn so constructed contains a subsequence TXnk which converges to some x X and which, by Ascoli's theorem [3], is equicontinuous. It follows in turn from (1) that the sequence Xnk is equicontinuous. To complete the proof it suffices to show xn,(t)-x(t) in B.
openaire   +1 more source

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