Hβ-Hausdorff Functions and Common Fixed Points of Multivalued Operators in a b-Metric Space and Their Applications
Hβ-Hausdorff functions for β∈0,1 are introduced, and common fixed-point theorems for a pair of multivalued operators satisfying generalized contraction conditions are proven in a b-metric space. Our results are proper extensions and new variants of many contraction conditions existing in literature....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/1931861 |
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| _version_ | 1832558419697991680 |
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| author | Fahad Sameer Alshammari Naif R. Alrashedi Reny George |
| author_facet | Fahad Sameer Alshammari Naif R. Alrashedi Reny George |
| author_sort | Fahad Sameer Alshammari |
| collection | DOAJ |
| description | Hβ-Hausdorff functions for β∈0,1 are introduced, and common fixed-point theorems for a pair of multivalued operators satisfying generalized contraction conditions are proven in a b-metric space. Our results are proper extensions and new variants of many contraction conditions existing in literature. In order to demonstrate applications of our result, we have proven an existence theorem for a unique common multivalued fractal of a pair of iterated multifunction systems and also an existence theorem for a common solution of a pair of Volterra-type integral equations. |
| format | Article |
| id | doaj-art-e867c79af6d14e16bdda560eafbaabac |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e867c79af6d14e16bdda560eafbaabac2025-02-03T01:32:32ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/1931861Hβ-Hausdorff Functions and Common Fixed Points of Multivalued Operators in a b-Metric Space and Their ApplicationsFahad Sameer Alshammari0Naif R. Alrashedi1Reny George2Department of MathematicsDepartment of MathematicsDepartment of MathematicsHβ-Hausdorff functions for β∈0,1 are introduced, and common fixed-point theorems for a pair of multivalued operators satisfying generalized contraction conditions are proven in a b-metric space. Our results are proper extensions and new variants of many contraction conditions existing in literature. In order to demonstrate applications of our result, we have proven an existence theorem for a unique common multivalued fractal of a pair of iterated multifunction systems and also an existence theorem for a common solution of a pair of Volterra-type integral equations.http://dx.doi.org/10.1155/2022/1931861 |
| spellingShingle | Fahad Sameer Alshammari Naif R. Alrashedi Reny George Hβ-Hausdorff Functions and Common Fixed Points of Multivalued Operators in a b-Metric Space and Their Applications Journal of Function Spaces |
| title | Hβ-Hausdorff Functions and Common Fixed Points of Multivalued Operators in a b-Metric Space and Their Applications |
| title_full | Hβ-Hausdorff Functions and Common Fixed Points of Multivalued Operators in a b-Metric Space and Their Applications |
| title_fullStr | Hβ-Hausdorff Functions and Common Fixed Points of Multivalued Operators in a b-Metric Space and Their Applications |
| title_full_unstemmed | Hβ-Hausdorff Functions and Common Fixed Points of Multivalued Operators in a b-Metric Space and Their Applications |
| title_short | Hβ-Hausdorff Functions and Common Fixed Points of Multivalued Operators in a b-Metric Space and Their Applications |
| title_sort | hβ hausdorff functions and common fixed points of multivalued operators in a b metric space and their applications |
| url | http://dx.doi.org/10.1155/2022/1931861 |
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