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Generalizations of Darbo’s fixed point theorem for new condensing operators with application to a functional integral equation
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Zeitschriftentitel: | Demonstratio Mathematica |
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Personen und Körperschaften: | , , |
In: | Demonstratio Mathematica, 52, 2019, 1, S. 166-182 |
Format: | E-Article |
Sprache: | Englisch |
veröffentlicht: |
Walter de Gruyter GmbH
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Schlagwörter: |
author_facet |
Rehman, Habib ur Gopal, Dhananjay Kumam, Poom Rehman, Habib ur Gopal, Dhananjay Kumam, Poom |
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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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10.1515/dema-2019-0012 |
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Online Free |
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Walter de Gruyter GmbH, 2019 |
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Walter de Gruyter GmbH (CrossRef) |
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2019 |
publisher |
Walter de Gruyter GmbH |
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Demonstratio Mathematica |
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49 |
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 |
author_facet | Rehman, Habib ur, Gopal, Dhananjay, Kumam, Poom, Rehman, Habib ur, Gopal, Dhananjay, Kumam, Poom |
author_sort | rehman, habib ur |
container_issue | 1 |
container_start_page | 166 |
container_title | Demonstratio Mathematica |
container_volume | 52 |
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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institution | DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229 |
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physical | 166-182 |
publishDate | 2019 |
publishDateSort | 2019 |
publisher | Walter de Gruyter GmbH |
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recordtype | ai |
series | Demonstratio Mathematica |
source_id | 49 |
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 |