On nonlinear Fredholm equations in Banach spaces

Mostafa Bachar; Mohamed Amine Khamsi

On nonlinear Fredholm equations in Banach spaces

Mostafa Bachar, Mohamed Amine Khamsi

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this work, we discuss the existence of solutions to the Fredholm integral equation x(t) =g(t) + ∫₀¹f(t,s,x(s))ds, in the spaces [inline-equation], L^P(I) (1 ≤ p < +∞) and L^∞(I). The results obtained seem to be new and improve on known similar results.

Original language	English
Pages (from-to)	2215-2223
Number of pages	9
Journal	Journal of Nonlinear and Convex Analysis
Volume	17
Issue number	11
State	Published - 2016

Bibliographical note

Publisher Copyright:
© 2016.

Keywords

Fixed point
Fredholm equations
Integral equations
Ishikawa-Krasnoselskii iteration
Lebesgue measure
Monotone mapping
Nonexpansive mapping

ASJC Scopus subject areas

Analysis
Geometry and Topology
Control and Optimization
Applied Mathematics

Cite this

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title = "On nonlinear Fredholm equations in Banach spaces",

abstract = "In this work, we discuss the existence of solutions to the Fredholm integral equation x(t) =g(t) + ∫01f(t,s,x(s))ds, in the spaces [inline-equation], LP(I) (1 ≤ p < +∞) and L∞(I). The results obtained seem to be new and improve on known similar results.",

keywords = "Fixed point, Fredholm equations, Integral equations, Ishikawa-Krasnoselskii iteration, Lebesgue measure, Monotone mapping, Nonexpansive mapping",

author = "Mostafa Bachar and Khamsi, {Mohamed Amine}",

note = "Publisher Copyright: {\textcopyright} 2016.",

year = "2016",

language = "English",

volume = "17",

pages = "2215--2223",

journal = "Journal of Nonlinear and Convex Analysis",

issn = "1345-4773",

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T1 - On nonlinear Fredholm equations in Banach spaces

AU - Bachar, Mostafa

AU - Khamsi, Mohamed Amine

PY - 2016

Y1 - 2016

N2 - In this work, we discuss the existence of solutions to the Fredholm integral equation x(t) =g(t) + ∫01f(t,s,x(s))ds, in the spaces [inline-equation], LP(I) (1 ≤ p < +∞) and L∞(I). The results obtained seem to be new and improve on known similar results.

AB - In this work, we discuss the existence of solutions to the Fredholm integral equation x(t) =g(t) + ∫01f(t,s,x(s))ds, in the spaces [inline-equation], LP(I) (1 ≤ p < +∞) and L∞(I). The results obtained seem to be new and improve on known similar results.

KW - Fixed point

KW - Fredholm equations

KW - Integral equations

KW - Ishikawa-Krasnoselskii iteration

KW - Lebesgue measure

KW - Monotone mapping

KW - Nonexpansive mapping

UR - http://www.scopus.com/inward/record.url?scp=85012950090&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85012950090

SN - 1345-4773

VL - 17

SP - 2215

EP - 2223

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 11

ER -

On nonlinear Fredholm equations in Banach spaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this