Results 21 to 30 of about 1,191,684 (366)

A uniqueness theorem for fixed points [PDF]

open access: yesProceedings of the American Mathematical Society, 1980
In a recent paper, R. Kellogg [3] showed that if F : D ¯ → D ¯ F:\bar D \to \bar D is a completely continuous map of the closure of a bounded, convex, open set D in a real Banach space X, F
Smith, H. L., Stuart, Charles Alexander
openaire   +3 more sources

Breakthrough Solution for Antimicrobial Resistance Detection: Surface‐Enhanced Raman Spectroscopy‐based on Artificial Intelligence

open access: yesAdvanced Materials Interfaces, EarlyView., 2023
This review discusses the use of Surface‐Enhanced Raman Spectroscopy (SERS) combined with Artificial Intelligence (AI) for detecting antimicrobial resistance (AMR). Various SERS studies used with AI techniques, including machine learning and deep learning, are analyzed for their advantages and limitations.
Zakarya Al‐Shaebi   +4 more
wiley   +1 more source

A short and constructive proof of Tarski’s fixed-point theorem [PDF]

open access: yes, 2005
I give short and constructive proofs of Tarski’s fixed-point theorem, and of Zhou’s extension of Tarski’s fixed-point theorem to set-valued ...
Echenique, Federico
core   +3 more sources

A fixed point theorem for the infinite-dimensional simplex [PDF]

open access: yes, 2006
We define the infinite dimensional simplex to be the closure of the convex hull of the standard basis vectors in R^infinity, and prove that this space has the 'fixed point property': any continuous function from the space into itself has a fixed point ...
Bessaga   +11 more
core   +3 more sources

The Caristi–Kirk Fixed Point Theorem from the point of view of ball spaces

open access: yesJournal of Fixed Point Theory and Applications, 2018
We take a fresh look at the important Caristi–Kirk Fixed Point Theorem and link it to the recently developed theory of ball spaces, which provides generic fixed point theorems for contracting functions in a number of applications including, but not ...
F. Kuhlmann   +2 more
semanticscholar   +1 more source

An Extension of Gregus Fixed Point Theorem

open access: yesFixed Point Theory and Applications, 2007
Let C be a closed convex subset of a complete metrizable topological vector space (X,d) and T:C→C a mapping that satisfies d(Tx,Ty)≤ad(x,y)+bd(x,Tx)+cd(y,Ty)+ed(y,Tx)+fd(x,Ty) for all x,y∈C, where ...
J. O. Olaleru, H. Akewe
doaj   +2 more sources

Some Simultaneous Generalizations of Well-Known Fixed Point Theorems and Their Applications to Fixed Point Theory

open access: yesMathematics, 2018
In this paper, we first establish a new fixed point theorem that generalizes and unifies a number of well-known fixed point results, including the Banach contraction principle, Kannan’s fixed point theorem, Chatterjea fixed point theorem, Du ...
Wei-Shih Du   +2 more
doaj   +1 more source

Some Fixed Point Theorems in Fuzzy n-Normed Spaces [PDF]

open access: yes, 2010
The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-
Elagan, Sayed Khalil   +1 more
core   +1 more source

Polynomial Analogue of Gandy’s Fixed Point Theorem

open access: yesMathematics, 2021
The paper suggests a general method for proving the fact whether a certain set is p-computable or not. The method is based on a polynomial analogue of the classical Gandy’s fixed point theorem.
Sergey Goncharov, Andrey Nechesov
doaj   +1 more source

Horizon Mass Theorem [PDF]

open access: yesInt.J.Mod.Phys. D14 (2005) 2219-2226, 2005
A new theorem for black holes is found. It is called the horizon mass theorem. The horizon mass is the mass which cannot escape from the horizon of a black hole. For all black holes: neutral, charged or rotating, the horizon mass is always twice the irreducible mass observed at infinity. Previous theorems on black holes are: 1. the singularity theorem,
arxiv   +1 more source

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