On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation

The purpose of this paper is to study the existence of fixed point for a nonlinear integral operator in the framework of Banach space 𝑋∶=𝐶([𝑎,𝑏],ℝ𝑛). Later on, we give some examples of applications of this type of results.

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Main Authors: M. Eshaghi Gordji, H. Baghani, O. Baghani
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/743923
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author M. Eshaghi Gordji
H. Baghani
O. Baghani
author_facet M. Eshaghi Gordji
H. Baghani
O. Baghani
author_sort M. Eshaghi Gordji
collection DOAJ
description The purpose of this paper is to study the existence of fixed point for a nonlinear integral operator in the framework of Banach space 𝑋∶=𝐶([𝑎,𝑏],ℝ𝑛). Later on, we give some examples of applications of this type of results.
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spelling doaj-art-8c7c40a1b1a64b5a8a3755bb2bcf61e92025-02-03T01:10:55ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/743923743923On Existence and Uniqueness of Solutions of a Nonlinear Integral EquationM. Eshaghi Gordji0H. Baghani1O. Baghani2Center of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, Semnan, IranCenter of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, Semnan, IranDepartment of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranThe purpose of this paper is to study the existence of fixed point for a nonlinear integral operator in the framework of Banach space 𝑋∶=𝐶([𝑎,𝑏],ℝ𝑛). Later on, we give some examples of applications of this type of results.http://dx.doi.org/10.1155/2011/743923
spellingShingle M. Eshaghi Gordji
H. Baghani
O. Baghani
On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation
Journal of Applied Mathematics
title On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation
title_full On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation
title_fullStr On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation
title_full_unstemmed On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation
title_short On Existence and Uniqueness of Solutions of a Nonlinear Integral Equation
title_sort on existence and uniqueness of solutions of a nonlinear integral equation
url http://dx.doi.org/10.1155/2011/743923
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AT hbaghani onexistenceanduniquenessofsolutionsofanonlinearintegralequation
AT obaghani onexistenceanduniquenessofsolutionsofanonlinearintegralequation