Nonlinear dynamics, fixed points and coupled fixed points in generalized gauge spaces with applications to a system of integral equations
type: Item
instance of: scholarly article
title: Nonlinear dynamics, fixed points and coupled fixed points in generalized gauge spaces with applications to a system of integral equations
zbMATH Open document ID: 1418.54026
DOI: 10.1155/2015/143510
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: We will discuss discrete dynamics generated by single-valued and multivalued operators in spaces endowed with a generalized metric structure. More precisely, the behavior of the sequence \((f^n(x))_{n \in \mathbb{N}}\) of successive approximations in complete generalized gauge spaces is discussed. In the same setting, the case of multivalued operators is also considered. The coupled fixed points for mappings \(t_1 : X_1 \times X_2 \rightarrow X_1\) and \(t_2 : X_1 \times X_2 \rightarrow X_2\) are discussed and an application to a system of nonlinear integral equations is given.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 45G15
zbMATH DE Number: 7025231
Wikidata QID: Q59105302
author: Adrian Petruşel
author: Gabriela Petruşel
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/143510
OpenAlex ID: W1750861639
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description: scientific article; zbMATH DE number 7025231