An extension of Darbo’s fixed point theorem for a class of system of nonlinear integral equations

Amar Deep; Deepmala; Jamal Rezaei Roshan; Kottakkaran Sooppy Nisar; Thabet Abdeljawad

doi:10.1186/s13662-020-02936-y

An extension of Darbo’s fixed point theorem for a class of system of nonlinear integral equations

Amar Deep
, Deepmala
, Jamal Rezaei Roshan
, Kottakkaran Sooppy Nisar
, Thabet Abdeljawad

Mathematics

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

13 Scopus citations

Abstract

We introduce an extension of Darbo’s fixed point theorem via a measure of noncompactness in a Banach space. By using our extension we study the existence of a solution for a system of nonlinear integral equations, which is an extended result of (Aghajani and Haghighi in Novi Sad J. Math. 44(1):59–73, 2014). We give an example to show the specified existence results.

Original language	English
Article number	483
Journal	Advances in Difference Equations
Volume	2020
Issue number	1
DOIs	https://doi.org/10.1186/s13662-020-02936-y
State	Published - 1 Dec 2020

Keywords

Fixed point theorem
Measure of noncompactness (MNC)
Nonlinear integral equations (NIE)
Tripled fixed point

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10.1186/s13662-020-02936-y

Cite this

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abstract = "We introduce an extension of Darbo{\textquoteright}s fixed point theorem via a measure of noncompactness in a Banach space. By using our extension we study the existence of a solution for a system of nonlinear integral equations, which is an extended result of (Aghajani and Haghighi in Novi Sad J. Math. 44(1):59–73, 2014). We give an example to show the specified existence results.",

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AU - Deepmala,

AU - Rezaei Roshan, Jamal

AU - Nisar, Kottakkaran Sooppy

AU - Abdeljawad, Thabet

PY - 2020/12/1

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N2 - We introduce an extension of Darbo’s fixed point theorem via a measure of noncompactness in a Banach space. By using our extension we study the existence of a solution for a system of nonlinear integral equations, which is an extended result of (Aghajani and Haghighi in Novi Sad J. Math. 44(1):59–73, 2014). We give an example to show the specified existence results.

AB - We introduce an extension of Darbo’s fixed point theorem via a measure of noncompactness in a Banach space. By using our extension we study the existence of a solution for a system of nonlinear integral equations, which is an extended result of (Aghajani and Haghighi in Novi Sad J. Math. 44(1):59–73, 2014). We give an example to show the specified existence results.

KW - Fixed point theorem

KW - Measure of noncompactness (MNC)

KW - Nonlinear integral equations (NIE)

KW - Tripled fixed point

UR - https://www.scopus.com/pages/publications/85090394273

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DO - 10.1186/s13662-020-02936-y

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VL - 2020

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 483

ER -

An extension of Darbo’s fixed point theorem for a class of system of nonlinear integral equations

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Keywords

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