Results 71 to 80 of about 5,813,281 (301)

Fixed-point-like theorems on subspaces [PDF]

open access: yes, 2004
We prove a fixed-point-like theorem for multivalued mappings defined on the finite Cartesian product of Grassmannian manifolds and convex sets. Our result generalizes two different kinds of theorems: the fixed-point-like theorem by Hirsch et al.
Bernard Cornet   +5 more
core   +1 more source

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

open access: yesAdvanced 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   +17 more
wiley   +1 more source

On a fixed point theorem of Greguš

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
We consider two selfmaps T and I of a closed convex subset C of a Banach space X which are weakly commuting in X, i.e.‖TIx−ITx‖≤‖Ix−Tx‖   for   any   x   in   X,and satisfy the inequality‖Tx−Ty‖≤a‖Ix−Iy‖+(1−a)max{‖Tx−Ix‖,‖Ty−Iy‖}for all x, y in C, where ...
Brian Fisher, Salvatore Sessa
doaj   +1 more source

FIXED POINT THEOREM FOR MULTIFUNCTIONS

open access: yesDemonstratio 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

open access: yesTheoretical 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   +2 more
openaire   +3 more sources

Nonlinear Inequality, Fixed Point and NashEquilibrium [PDF]

open access: yes
In this paper, we give new sufficient conditions for the existence of a solution of theg-maximum equality. As a consequence, we prove a new fixed point theorem.
Moussa Larbani   +2 more
core  

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

open access: yesAdvanced 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   +4 more
wiley   +1 more source

A New Fixed Point Theorem and Applications

open access: yesAbstract and Applied Analysis, 2013
A new fixed point theorem is established under the setting of a generalized finitely continuous topological space (GFC-space) without the convexity structure. As applications, a weak KKM theorem and a minimax inequalities of Ky Fan type are also obtained
Min Fang, Xie Ping Ding
doaj   +1 more source

Fully Programmable Slow Light Based on a Spinor Representation of Generalized Coupled‐Resonator‐Induced Transparency

open access: yesAdvanced Science, EarlyView.
A programmable coupled‐resonator‐induced transparency (CRIT) platform is proposed, generalizing classical electromagnetically induced transparency (EIT) via a spinor representation. By utilizing dual‐channel gauge fields and universal unitary operations, this architecture enables dynamically engineered, reconfigurable slow‐light bands on a silicon ...
Seungkyun Park   +5 more
wiley   +1 more source

A NOTE ON BRØNDSTED’S FIXED POINT THEOREM

open access: yesBulletin of the Australian Mathematical Society, 2023
AbstractWe show that for the case of uniformly convex Banach spaces, the conditions of Brøndsted’s fixed point theorem can be relaxed.
openaire   +3 more sources

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