Fixed Point, Data Dependence, and Well-Posed Problems for Multivalued Nonlinear Contractions
The aim of the paper is to discuss data dependence, existence of fixed points, strict fixed points, and well posedness of some multivalued generalized contractions in the setting of complete metric spaces. Using auxiliary functions, we introduce Wardowski type multivalued nonlinear operators that sa...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/2200903 |
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| _version_ | 1832545857624342528 |
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| author | Iram Iqbal Nawab Hussain Hamed H. Al-Sulami Shanza Hassan |
| author_facet | Iram Iqbal Nawab Hussain Hamed H. Al-Sulami Shanza Hassan |
| author_sort | Iram Iqbal |
| collection | DOAJ |
| description | The aim of the paper is to discuss data dependence, existence of fixed points, strict fixed points, and well posedness of some multivalued generalized contractions in the setting of complete metric spaces. Using auxiliary functions, we introduce Wardowski type multivalued nonlinear operators that satisfy a novel class of contractive requirements. Furthermore, the existence and data dependence findings for these multivalued operators are obtained. A nontrivial example is also provided to support the results. The results generalize, improve, and extend existing results in the literature. |
| format | Article |
| id | doaj-art-6944fe93a44c45f28dc8c265ad67327d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6944fe93a44c45f28dc8c265ad67327d2025-02-03T07:24:25ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/22009032200903Fixed Point, Data Dependence, and Well-Posed Problems for Multivalued Nonlinear ContractionsIram Iqbal0Nawab Hussain1Hamed H. Al-Sulami2Shanza Hassan3Department of Mathematics, University of Sargodha, Sargodha, PakistanDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Sargodha, Sargodha, PakistanThe aim of the paper is to discuss data dependence, existence of fixed points, strict fixed points, and well posedness of some multivalued generalized contractions in the setting of complete metric spaces. Using auxiliary functions, we introduce Wardowski type multivalued nonlinear operators that satisfy a novel class of contractive requirements. Furthermore, the existence and data dependence findings for these multivalued operators are obtained. A nontrivial example is also provided to support the results. The results generalize, improve, and extend existing results in the literature.http://dx.doi.org/10.1155/2021/2200903 |
| spellingShingle | Iram Iqbal Nawab Hussain Hamed H. Al-Sulami Shanza Hassan Fixed Point, Data Dependence, and Well-Posed Problems for Multivalued Nonlinear Contractions Journal of Function Spaces |
| title | Fixed Point, Data Dependence, and Well-Posed Problems for Multivalued Nonlinear Contractions |
| title_full | Fixed Point, Data Dependence, and Well-Posed Problems for Multivalued Nonlinear Contractions |
| title_fullStr | Fixed Point, Data Dependence, and Well-Posed Problems for Multivalued Nonlinear Contractions |
| title_full_unstemmed | Fixed Point, Data Dependence, and Well-Posed Problems for Multivalued Nonlinear Contractions |
| title_short | Fixed Point, Data Dependence, and Well-Posed Problems for Multivalued Nonlinear Contractions |
| title_sort | fixed point data dependence and well posed problems for multivalued nonlinear contractions |
| url | http://dx.doi.org/10.1155/2021/2200903 |
| work_keys_str_mv | AT iramiqbal fixedpointdatadependenceandwellposedproblemsformultivaluednonlinearcontractions AT nawabhussain fixedpointdatadependenceandwellposedproblemsformultivaluednonlinearcontractions AT hamedhalsulami fixedpointdatadependenceandwellposedproblemsformultivaluednonlinearcontractions AT shanzahassan fixedpointdatadependenceandwellposedproblemsformultivaluednonlinearcontractions |