Analytical Solution of Urysohn Integral Equations by Fixed Point Technique in Complex Valued Metric Spaces
The purpose of this article is to introduce a fixed point result for a general contractive condition in the context of complex valued metric spaces. Also, some important corollaries under this contractive condition are obtained. As an application, we find a unique solution for Urysohn integral equat...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/9/852 |
| _version_ | 1818941538924756992 |
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| author | Hasanen A. Hammad Manuel De la Sen |
| author_facet | Hasanen A. Hammad Manuel De la Sen |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| description | The purpose of this article is to introduce a fixed point result for a general contractive condition in the context of complex valued metric spaces. Also, some important corollaries under this contractive condition are obtained. As an application, we find a unique solution for Urysohn integral equations, and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. Previous known related results in the literarure and some other known results in the literature. |
| first_indexed | 2024-12-20T06:57:08Z |
| format | Article |
| id | doaj.art-828a495cc043481f8a056c40df9a205d |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-20T06:57:08Z |
| publishDate | 2019-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-828a495cc043481f8a056c40df9a205d2022-12-21T19:49:19ZengMDPI AGMathematics2227-73902019-09-017985210.3390/math7090852math7090852Analytical Solution of Urysohn Integral Equations by Fixed Point Technique in Complex Valued Metric SpacesHasanen A. Hammad0Manuel De la Sen1Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptInstitute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Bizkaia, SpainThe purpose of this article is to introduce a fixed point result for a general contractive condition in the context of complex valued metric spaces. Also, some important corollaries under this contractive condition are obtained. As an application, we find a unique solution for Urysohn integral equations, and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. Previous known related results in the literarure and some other known results in the literature.https://www.mdpi.com/2227-7390/7/9/852single-valued mappingscomplex valued metric spacescommon fixed pointnonlinear integral equations |
| spellingShingle | Hasanen A. Hammad Manuel De la Sen Analytical Solution of Urysohn Integral Equations by Fixed Point Technique in Complex Valued Metric Spaces Mathematics single-valued mappings complex valued metric spaces common fixed point nonlinear integral equations |
| title | Analytical Solution of Urysohn Integral Equations by Fixed Point Technique in Complex Valued Metric Spaces |
| title_full | Analytical Solution of Urysohn Integral Equations by Fixed Point Technique in Complex Valued Metric Spaces |
| title_fullStr | Analytical Solution of Urysohn Integral Equations by Fixed Point Technique in Complex Valued Metric Spaces |
| title_full_unstemmed | Analytical Solution of Urysohn Integral Equations by Fixed Point Technique in Complex Valued Metric Spaces |
| title_short | Analytical Solution of Urysohn Integral Equations by Fixed Point Technique in Complex Valued Metric Spaces |
| title_sort | analytical solution of urysohn integral equations by fixed point technique in complex valued metric spaces |
| topic | single-valued mappings complex valued metric spaces common fixed point nonlinear integral equations |
| url | https://www.mdpi.com/2227-7390/7/9/852 |
| work_keys_str_mv | AT hasanenahammad analyticalsolutionofurysohnintegralequationsbyfixedpointtechniqueincomplexvaluedmetricspaces AT manueldelasen analyticalsolutionofurysohnintegralequationsbyfixedpointtechniqueincomplexvaluedmetricspaces |