Results 71 to 80 of about 43,330 (108)

Kakutani-type fixed point theorems: A survey

open access: closedJournal of Fixed Point Theory and Applications, 2010
The contents of this paper is best described by quoting its summary: ``A Kakutani-type fixed point theorem refers to a theorem of the following kind: Given a group or semigroup \(S\) of continuous affine transformations \(s:Q\rightarrow Q\), where \(Q\) is a nonempty compact convex subset of a Hausdorff locally convex linear topological space, then ...
I. Namioka
openalex   +3 more sources

Conditions for the Uniqueness of the Fixed Point in Kakutani's Theorem

Canadian Mathematical Bulletin, 1981
AbstractKakutani's Theorem states that every point convex and use multifunction ϕ defined on a compact and convex set in a Euclidean space has at least one fixed point. Some necessary conditions are given here which ϕ must satisfy if c is the unique fixed point of ϕ. It is e.g.
H. Schirmer
openaire   +2 more sources

On Kakutani's fixed point theorem, the K-K-M-S theorem and the core of a balanced game

Economic Theory, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shapley, Lloyd, Vohra, Rajiv
openaire   +2 more sources

A new form of Kakutani fixed point theorem and intersection theorem with applications

2021
In this paper sufficient conditions for the existence of a solution for the inclusion problem \(x^*\in \operatorname{conv}(A(x^*))\) are given. Some consequences are obtained. Unfortunately, the paper contains some typos/misprints that make it difficult to understand.
Farajzadeh, Ali P.   +2 more
openaire   +2 more sources

Inverse Maximum Theorems and Their Relations with Equilibrium and Fixed Point Theorems

Journal of Optimization Theory and Applications, 2023
J. Cotrina, Raúl Fierro
semanticscholar   +1 more source

History of the Brouwer Fixed Point Theorem

Progress in Nonlinear Differential Equations and Their Applications, 2020
G. Dincă, J. Mawhin
semanticscholar   +1 more source

Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators

Nature Machine Intelligence, 2021
Lu Lu, Pengzhan Jin, Guofei Pang
exaly  

Experimental quantum key distribution certified by Bell's theorem

Nature, 2022
David Nadlinger   +2 more
exaly  

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