On Solution of Boundary Value Problems via Weak Contractions
The aim is to present a new relational variant of fixed point result that generalizes various fixed point results of the existing theme for contractive type mappings. As an application, we solve a periodic boundary value problem and validate all assertions with the help of nontrivial examples. We al...
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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/10.1155/2022/6799205 |
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| _version_ | 1832566224830070784 |
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| author | Gopi Prasad Hüseyin Işik |
| author_facet | Gopi Prasad Hüseyin Işik |
| author_sort | Gopi Prasad |
| collection | DOAJ |
| description | The aim is to present a new relational variant of fixed point result that generalizes various fixed point results of the existing theme for contractive type mappings. As an application, we solve a periodic boundary value problem and validate all assertions with the help of nontrivial examples. We also highlight the close connections of the fixed point results equipped with a binary relation to that of graph related metrical fixed point results. Radically, these investigations unify the theory of metrical fixed points for contractive type mappings. |
| format | Article |
| id | doaj-art-9a0d6f481d8e433d8e29b96112d8d639 |
| 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-9a0d6f481d8e433d8e29b96112d8d6392025-02-03T01:04:44ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6799205On Solution of Boundary Value Problems via Weak ContractionsGopi Prasad0Hüseyin Işik1Department of MathematicsDepartment of Engineering ScienceThe aim is to present a new relational variant of fixed point result that generalizes various fixed point results of the existing theme for contractive type mappings. As an application, we solve a periodic boundary value problem and validate all assertions with the help of nontrivial examples. We also highlight the close connections of the fixed point results equipped with a binary relation to that of graph related metrical fixed point results. Radically, these investigations unify the theory of metrical fixed points for contractive type mappings.http://dx.doi.org/10.1155/2022/6799205 |
| spellingShingle | Gopi Prasad Hüseyin Işik On Solution of Boundary Value Problems via Weak Contractions Journal of Function Spaces |
| title | On Solution of Boundary Value Problems via Weak Contractions |
| title_full | On Solution of Boundary Value Problems via Weak Contractions |
| title_fullStr | On Solution of Boundary Value Problems via Weak Contractions |
| title_full_unstemmed | On Solution of Boundary Value Problems via Weak Contractions |
| title_short | On Solution of Boundary Value Problems via Weak Contractions |
| title_sort | on solution of boundary value problems via weak contractions |
| url | http://dx.doi.org/10.1155/2022/6799205 |
| work_keys_str_mv | AT gopiprasad onsolutionofboundaryvalueproblemsviaweakcontractions AT huseyinisik onsolutionofboundaryvalueproblemsviaweakcontractions |