A modification of the convergence conditions for Picard's iteration



Document title: A modification of the convergence conditions for Picard's iteration
Journal: Computational & applied mathematics
Database: PERIÓDICA
System number: 000272474
ISSN: 1807-0302
Authors: 1
Institutions: 1Universidad de La Rioja, Departamento de Matemáticas y Computación, Logroño, La Rioja. España
Year:
Volumen: 23
Number: 1
Pages: 55-65
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Aplicado, descriptivo
English abstract The convergence of the method of successive approximations is usually studied by the fixed point theorem. An alternative to this theorem is given in this work, where a contraction mapping is not necessary. An application to nonlinear integral equations of Fredholm type and second kind is also presented
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Ecuaciones no lineales,
Espacios de Banach,
Convergencia semilocal,
Iteración de Picard
Keyword: Mathematics,
Pure mathematics,
Nonlinear equations,
Banach spaces,
Semilocal convergence,
Picard iteration
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