author_facet Rehman, Habib ur
Gopal, Dhananjay
Kumam, Poom
Rehman, Habib ur
Gopal, Dhananjay
Kumam, Poom
author Rehman, Habib ur
Gopal, Dhananjay
Kumam, Poom
spellingShingle Rehman, Habib ur
Gopal, Dhananjay
Kumam, Poom
Demonstratio Mathematica
Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
General Mathematics
author_sort rehman, habib ur
spelling Rehman, Habib ur Gopal, Dhananjay Kumam, Poom 2391-4661 Walter de Gruyter GmbH General Mathematics http://dx.doi.org/10.1515/dema-2019-0012 <jats:title>Abstract</jats:title> <jats:p>In this paper, we provide some generalizations of the Darbo’s fixed point theorem associated with the measure of noncompactness and present some results on the existence of the coupled fixed point theorems for a special class of operators in a Banach space. To acquire this result, we define <jats:italic>α</jats:italic>- <jats:italic>ψ</jats:italic> and <jats:italic>β</jats:italic>- <jats:italic>ψ</jats:italic> condensing operators and using them we propose new fixed point results. Our results generalize and extend some comparable results from the literature. Additionally, as an application, we apply the obtained fixed point theorems to study the nonlinear functional integral equations.</jats:p> Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation Demonstratio Mathematica
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title Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
title_unstemmed Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
title_full Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
title_fullStr Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
title_full_unstemmed Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
title_short Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
title_sort generalizations of darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
topic General Mathematics
url http://dx.doi.org/10.1515/dema-2019-0012
publishDate 2019
physical 166-182
description <jats:title>Abstract</jats:title> <jats:p>In this paper, we provide some generalizations of the Darbo’s fixed point theorem associated with the measure of noncompactness and present some results on the existence of the coupled fixed point theorems for a special class of operators in a Banach space. To acquire this result, we define <jats:italic>α</jats:italic>- <jats:italic>ψ</jats:italic> and <jats:italic>β</jats:italic>- <jats:italic>ψ</jats:italic> condensing operators and using them we propose new fixed point results. Our results generalize and extend some comparable results from the literature. Additionally, as an application, we apply the obtained fixed point theorems to study the nonlinear functional integral equations.</jats:p>
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author Rehman, Habib ur, Gopal, Dhananjay, Kumam, Poom
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author_sort rehman, habib ur
container_issue 1
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container_title Demonstratio Mathematica
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description <jats:title>Abstract</jats:title> <jats:p>In this paper, we provide some generalizations of the Darbo’s fixed point theorem associated with the measure of noncompactness and present some results on the existence of the coupled fixed point theorems for a special class of operators in a Banach space. To acquire this result, we define <jats:italic>α</jats:italic>- <jats:italic>ψ</jats:italic> and <jats:italic>β</jats:italic>- <jats:italic>ψ</jats:italic> condensing operators and using them we propose new fixed point results. Our results generalize and extend some comparable results from the literature. Additionally, as an application, we apply the obtained fixed point theorems to study the nonlinear functional integral equations.</jats:p>
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spelling Rehman, Habib ur Gopal, Dhananjay Kumam, Poom 2391-4661 Walter de Gruyter GmbH General Mathematics http://dx.doi.org/10.1515/dema-2019-0012 <jats:title>Abstract</jats:title> <jats:p>In this paper, we provide some generalizations of the Darbo’s fixed point theorem associated with the measure of noncompactness and present some results on the existence of the coupled fixed point theorems for a special class of operators in a Banach space. To acquire this result, we define <jats:italic>α</jats:italic>- <jats:italic>ψ</jats:italic> and <jats:italic>β</jats:italic>- <jats:italic>ψ</jats:italic> condensing operators and using them we propose new fixed point results. Our results generalize and extend some comparable results from the literature. Additionally, as an application, we apply the obtained fixed point theorems to study the nonlinear functional integral equations.</jats:p> Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation Demonstratio Mathematica
spellingShingle Rehman, Habib ur, Gopal, Dhananjay, Kumam, Poom, Demonstratio Mathematica, Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation, General Mathematics
title Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
title_full Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
title_fullStr Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
title_full_unstemmed Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
title_short Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
title_sort generalizations of darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
title_unstemmed Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
topic General Mathematics
url http://dx.doi.org/10.1515/dema-2019-0012