Results 11 to 20 of about 840,116 (317)

Data‐driven performance metrics for neural network learning

International Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri, Mauro Gaggero, Marcello Sanguineti   +2 more
wiley   +1 more source

New Applications of Perov’s Fixed Point Theorem

Mathematics, 2022
The goal of this paper is to consider a differential equation system written as an interesting equivalent form that has not been used before. Using Perov’s fixed point theorem in generalized metric spaces, the existence and uniqueness of the solution are
Sorin Mureşan, Loredana Florentina Iambor, Omar Bazighifan   +2 more
doaj   +1 more source

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

, 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, Rahmat, Mohamad Rafi Segi   +1 more
core   +1 more source

Caristi’s Fixed Point Theorem and Subrahmanyam’s Fixed Point Theorem in ν-Generalized Metric Spaces

Journal of Function Spaces, 2015
We discuss the completeness of ν-generalized metric spaces in the sense of Branciari. We also prove generalizations of Subrahmanyam’s and Caristi’s fixed point theorem.
Badriah Alamri, Tomonari Suzuki, Liaqat Ali Khan   +2 more
doaj   +1 more source

Generalization of Rakotch's fixed Point Theorem

Revista de Matemática: Teoría y Aplicaciones, 2011
In this paper we get some generalizations of Rakotch's results [10] using the notion of $\omega ?distancia$ on a metric ...
José R. Morales
doaj   +1 more source

On a Fixed Point Theorem of Kirk [PDF]

Proceedings of the American Mathematical Society, 1995
Let X be a reflexive Banach space, D an open and bounded subset of X, and T : D ¯ → X T:\bar D \to X a continuous mapping which is locally pseudocontractive on D.
Claudio H. Morales, Simba A. Mutangadura
openaire   +1 more source

A uniqueness theorem for fixed points [PDF]

Proceedings 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
Charles Alexander Stuart, H. L. Smith
openaire   +3 more sources

Polynomial Analogue of Gandy’s Fixed Point Theorem

Mathematics, 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

Duan's fixed point theorem: proof and generalization

Fixed Point Theory and Applications, 2006
Let X be an H-space of the homotopy type of a connected, finite CW-complex, f:X→X any map and p k :X→X the k th power map. Duan proved that p k f :X→X has a fixed point if k≥2 .
Martin Arkowitz
doaj   +4 more sources

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

Mathematics, 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, Erdal Karapınar, Zhenhua He   +2 more
doaj   +1 more source