A Cone Measure of Noncompactness and Some Generalizations of Darbo’s Theorem with Applications to Functional Integral Equations
We introduce the concept of cone measure of noncompactness and obtain some generalizations of Darbo’s theorem via this new concept. As an application, we establish an existence theorem for a system of integral equations. An example is also provided to illustrate the obtained result.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/9896502 |
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| _version_ | 1832566607543533568 |
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| author | Mohamed Jleli Mohammad Mursaleen Kishin Sadarangani Bessem Samet |
| author_facet | Mohamed Jleli Mohammad Mursaleen Kishin Sadarangani Bessem Samet |
| author_sort | Mohamed Jleli |
| collection | DOAJ |
| description | We introduce the concept of cone measure of noncompactness and obtain some generalizations of Darbo’s theorem via this new concept. As an application, we establish an existence theorem for a system of integral equations. An example is also provided to illustrate the obtained result. |
| format | Article |
| id | doaj-art-40fbe5801c7140be9f003a2ad4ede4f1 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-40fbe5801c7140be9f003a2ad4ede4f12025-02-03T01:03:35ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/98965029896502A Cone Measure of Noncompactness and Some Generalizations of Darbo’s Theorem with Applications to Functional Integral EquationsMohamed Jleli0Mohammad Mursaleen1Kishin Sadarangani2Bessem Samet3Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartamento de Matemàticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaWe introduce the concept of cone measure of noncompactness and obtain some generalizations of Darbo’s theorem via this new concept. As an application, we establish an existence theorem for a system of integral equations. An example is also provided to illustrate the obtained result.http://dx.doi.org/10.1155/2016/9896502 |
| spellingShingle | Mohamed Jleli Mohammad Mursaleen Kishin Sadarangani Bessem Samet A Cone Measure of Noncompactness and Some Generalizations of Darbo’s Theorem with Applications to Functional Integral Equations Journal of Function Spaces |
| title | A Cone Measure of Noncompactness and Some Generalizations of Darbo’s Theorem with Applications to Functional Integral Equations |
| title_full | A Cone Measure of Noncompactness and Some Generalizations of Darbo’s Theorem with Applications to Functional Integral Equations |
| title_fullStr | A Cone Measure of Noncompactness and Some Generalizations of Darbo’s Theorem with Applications to Functional Integral Equations |
| title_full_unstemmed | A Cone Measure of Noncompactness and Some Generalizations of Darbo’s Theorem with Applications to Functional Integral Equations |
| title_short | A Cone Measure of Noncompactness and Some Generalizations of Darbo’s Theorem with Applications to Functional Integral Equations |
| title_sort | cone measure of noncompactness and some generalizations of darbo s theorem with applications to functional integral equations |
| url | http://dx.doi.org/10.1155/2016/9896502 |
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