On Multivalued Hybrid Contractions with Applications
Recently, a notion of b-hybrid contraction for single-valued mappings in the framework of b-metric spaces which unify and improve several significant existing results in the corresponding literature was introduced. This paper presents a multivalued generalization for such contraction. Moreover, one...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/8401403 |
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| _version_ | 1832565974451093504 |
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| author | Monairah Alansari Shehu Shagari Mohammed Akbar Azam Nawab Hussain |
| author_facet | Monairah Alansari Shehu Shagari Mohammed Akbar Azam Nawab Hussain |
| author_sort | Monairah Alansari |
| collection | DOAJ |
| description | Recently, a notion of b-hybrid contraction for single-valued mappings in the framework of b-metric spaces which unify and improve several significant existing results in the corresponding literature was introduced. This paper presents a multivalued generalization for such contraction. Moreover, one of our obtained results is applied to analyze some solvability conditions of Fredholm-type integral inclusions. Nontrivial examples are also provided to support the assertions of our theorems. |
| format | Article |
| id | doaj-art-18b5f87780d54798892e49b93940c3ba |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-18b5f87780d54798892e49b93940c3ba2025-02-03T01:05:21ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/84014038401403On Multivalued Hybrid Contractions with ApplicationsMonairah Alansari0Shehu Shagari Mohammed1Akbar Azam2Nawab Hussain3Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, NigeriaDepartment of Mathematics, COMSATS University, Chak Shahzad, Islamabad 44000, PakistanDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaRecently, a notion of b-hybrid contraction for single-valued mappings in the framework of b-metric spaces which unify and improve several significant existing results in the corresponding literature was introduced. This paper presents a multivalued generalization for such contraction. Moreover, one of our obtained results is applied to analyze some solvability conditions of Fredholm-type integral inclusions. Nontrivial examples are also provided to support the assertions of our theorems.http://dx.doi.org/10.1155/2020/8401403 |
| spellingShingle | Monairah Alansari Shehu Shagari Mohammed Akbar Azam Nawab Hussain On Multivalued Hybrid Contractions with Applications Journal of Function Spaces |
| title | On Multivalued Hybrid Contractions with Applications |
| title_full | On Multivalued Hybrid Contractions with Applications |
| title_fullStr | On Multivalued Hybrid Contractions with Applications |
| title_full_unstemmed | On Multivalued Hybrid Contractions with Applications |
| title_short | On Multivalued Hybrid Contractions with Applications |
| title_sort | on multivalued hybrid contractions with applications |
| url | http://dx.doi.org/10.1155/2020/8401403 |
| work_keys_str_mv | AT monairahalansari onmultivaluedhybridcontractionswithapplications AT shehushagarimohammed onmultivaluedhybridcontractionswithapplications AT akbarazam onmultivaluedhybridcontractionswithapplications AT nawabhussain onmultivaluedhybridcontractionswithapplications |