Results 111 to 120 of about 1,115,420 (368)

Brouwer's Fixed Point Theorem with Isolated Fixed Points and His Fan Theorem

ISRN Computational Mathematics, 2012
We show that Brouwer’s fixed point theorem with isolated fixed points is equivalent to Brouwer’s fan theorem.
openaire   +1 more source

FIXED POINT THEOREM ON PARTIAL METRIC SPACES INVOLVING RATIONAL EXPRESSIONS

, 2013
We establish a fixed point theorem involving a rational expression in a complete partial metric space. Our result generalizes a well-known result in (usual) metric spaces. Also, we introduce an example to illustrate the usability of our result.
E. Karapınar, W. Shatanawi, K. Tas
semanticscholar   +1 more source

A fixed point theorem for set-valued quasi-contractions in b-metric spaces

Fixed Point Theory and Applications, 2012
In this article, we give a fixed point theorem for set-valued quasi-contraction maps in b-metric spaces. This theorem extends, unifies and generalizes several well known comparable results in the existing literature.
H. Aydi, Monica-Felicia Bota, E. Karapınar, Slobodan Mitrovic   +3 more
semanticscholar   +1 more source

Nonlocal Coupling in Hybrid Bilayer Metasurfaces via Out‐of‐Plane Quadrupole Surface Lattice Resonance

Advanced Optical Materials, EarlyView.
A flexible metallic metasurface sticker is placed on a dielectric metasurface to study interlayer optical coupling. A bright quadrupolar surface lattice resonance in the top layer and a dark quadrupole mode in the bottom layer hybridize into symmetric and antisymmetric modes.
Tien Yang Lo, Shunsuke Murai, Joshua T. Y. Tse, Katsuhisa Tanaka   +3 more
wiley   +1 more source

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

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  

Mizoguchi-Takahashi’s Fixed Point Theorem with , Functions

, 2013
We introduce the notion of generalized -admissible mappings. By using this notion, we prove a fixed point theorem. Our result generalizes Mizoguchi-Takahashi’s fixed point theorem. We also provide some examples to show the generality of our work.
M. Ali, T. Kamran, W. Sintunavarat, Phayap Katchang   +3 more
semanticscholar   +1 more source

Experimental Test of the Three‐Setting Clauser–Horne–Shimony–Holt Inequality with Nonmaximally Orbital Angular Momentum Entangled States

Advanced Photonics Research, EarlyView.
Herein, the maximum violation of the three‐setting Clauser–Horne–Shimony–Holt (CHSH) inequality using nonmaximally entangled photons with orbital angular momentum is demonstrated. By mapping the optimization problem to maximizing a triangle's perimeter inscribed in an ellipse, the experiment validates the geometric approach and highlights the ...
Dongkai Zhang, Xiaodong Qiu, Lixiang Chen   +2 more
wiley   +1 more source

Some fixed point theorems for discontinuous mappings [PDF]

This paper provides a fixed point theorem à la Schauder, where the mappings considered are possibly discontinuous. Our main result generalizes and unifies several well-known results.Schauder fixed point theorem, Brouwer fixed point theorem, discontinuity.
Philippe Bich
core  

Fixed Point Theorem for W-h Contraction Mappings In Generalized Menger Spaces [PDF]

, 2023
ABDERRAHIM MBARKI
openalex   +1 more source

Fixed point theorem for weakly Chatterjea-type cyclic contractions

, 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