Results 91 to 100 of about 159,558 (211)

A fixed-point theorem of Krasnoselskii

open access: yesApplied Mathematics Letters, 1998
Abstract Krasnoselskii's fixed-point theorem asks for a convex set M and a mapping Pz = Bz + Az such that: 1. (i) Bx + Ay ∈ M for each x , y ∈ M 2. (ii) A is continuous and compact 3. (iii) B is a contraction. Then P has a fixed point.
openaire   +2 more sources

A hybrid common fixed point theorem under certain recent properties. [PDF]

open access: yesScientificWorldJournal, 2014
Kadelburg Z, Chauhan S, Imdad M.
europepmc   +1 more source

Some ergodic theorems over $k$-full numbers [PDF]

open access: yesarXiv
In 2022, Bergelson and Richter established a new dynamical generalization of the prime number theorem. Later, Loyd showed a disjoint form with the Erd\H{o}s-Kac theorem. Recently, the author and his coauthors proved some ergodic theorems over squarefree numbers related to these results.
arxiv  

Minimax and fixed point theorems

open access: yesMathematische Annalen, 1980
Since then, numerous applications of this interesting theorem have been found. The object of this note is to obtain a generalization of Theorem 1 by relaxing, among the others, the compactness condition. It contains a fixed point theorem for maps with inwardness or outwardness conditions given by Fan [6]. As its direct consequence, we also obtain a new
openaire   +2 more sources

A Survey on Universal Approximation Theorems [PDF]

open access: yesarXiv
This paper discusses various theorems on the approximation capabilities of neural networks (NNs), which are known as universal approximation theorems (UATs). The paper gives a systematic overview of UATs starting from the preliminary results on function approximation, such as Taylor's theorem, Fourier's theorem, Weierstrass approximation theorem ...
arxiv  

Fixed point theorems [PDF]

open access: yesCommunications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1988
M. R. Singh, A. K. Chatterjee
openaire   +1 more source

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