Fixed Points for Multivalued Suzuki Type (θ,R)-Contraction Mapping with Applications
In this paper, we will introduce the concept of Suzuki type multivalued (θ,R)-contraction and we will prove some fixed point results in the setting of a metric space equipped with a binary relation. Our results generalize and extend various comparable results in the existing literature. Examples are...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/9565804 |
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| _version_ | 1832563209499836416 |
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| author | Mujahid Abbas Hira Iqbal Adrian Petrusel |
| author_facet | Mujahid Abbas Hira Iqbal Adrian Petrusel |
| author_sort | Mujahid Abbas |
| collection | DOAJ |
| description | In this paper, we will introduce the concept of Suzuki type multivalued (θ,R)-contraction and we will prove some fixed point results in the setting of a metric space equipped with a binary relation. Our results generalize and extend various comparable results in the existing literature. Examples are provided to support the results proved here. As an application of our results, we obtain a homotopy result, proving the existence of a solution for a second-order differential equation and for a first-order fractional differential equation. |
| format | Article |
| id | doaj-art-2f361e76aa934dcfae1e3baa088b60fb |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-2f361e76aa934dcfae1e3baa088b60fb2025-02-03T01:20:46ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/95658049565804Fixed Points for Multivalued Suzuki Type (θ,R)-Contraction Mapping with ApplicationsMujahid Abbas0Hira Iqbal1Adrian Petrusel2Department of Mathematics, Government College University, Katchery Road, Lahore 54000, PakistanDepartment of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore Campus, PakistanDepartment of Mathematics, Babeș-Bolyai University, Cluj-Napoca, RomaniaIn this paper, we will introduce the concept of Suzuki type multivalued (θ,R)-contraction and we will prove some fixed point results in the setting of a metric space equipped with a binary relation. Our results generalize and extend various comparable results in the existing literature. Examples are provided to support the results proved here. As an application of our results, we obtain a homotopy result, proving the existence of a solution for a second-order differential equation and for a first-order fractional differential equation.http://dx.doi.org/10.1155/2019/9565804 |
| spellingShingle | Mujahid Abbas Hira Iqbal Adrian Petrusel Fixed Points for Multivalued Suzuki Type (θ,R)-Contraction Mapping with Applications Journal of Function Spaces |
| title | Fixed Points for Multivalued Suzuki Type (θ,R)-Contraction Mapping with Applications |
| title_full | Fixed Points for Multivalued Suzuki Type (θ,R)-Contraction Mapping with Applications |
| title_fullStr | Fixed Points for Multivalued Suzuki Type (θ,R)-Contraction Mapping with Applications |
| title_full_unstemmed | Fixed Points for Multivalued Suzuki Type (θ,R)-Contraction Mapping with Applications |
| title_short | Fixed Points for Multivalued Suzuki Type (θ,R)-Contraction Mapping with Applications |
| title_sort | fixed points for multivalued suzuki type θ r contraction mapping with applications |
| url | http://dx.doi.org/10.1155/2019/9565804 |
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