New contributions for tripled fixed point methodologies via a generalized variational principle with applications
This manuscript was built to generalize Ekeland variational principle for mixed monotone functions in the setting of partially ordered complete metric spaces. The results obtained are applied to give different proofs for tripled fixed points of mixed monotone mappings in the mentioned space by using...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-04-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016821005111 |
| _version_ | 1818357982190108672 |
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| author | Hasanen A. Hammad Hassen Aydi Manuel De la Sen |
| author_facet | Hasanen A. Hammad Hassen Aydi Manuel De la Sen |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| description | This manuscript was built to generalize Ekeland variational principle for mixed monotone functions in the setting of partially ordered complete metric spaces. The results obtained are applied to give different proofs for tripled fixed points of mixed monotone mappings in the mentioned space by using a variational technique. The results presented in our manuscripts generalize and expand many of the findings presented in the earlier period. For the sobriety and enhancement of our paper, two examples are given and the existence and uniqueness of the solution to a periodic boundary value problem are studied as applications. |
| first_indexed | 2024-12-13T20:21:45Z |
| format | Article |
| id | doaj.art-8d53ddc0f5ef4aeb82324c54e02a3403 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-13T20:21:45Z |
| publishDate | 2022-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-8d53ddc0f5ef4aeb82324c54e02a34032022-12-21T23:32:40ZengElsevierAlexandria Engineering Journal1110-01682022-04-0161426872696New contributions for tripled fixed point methodologies via a generalized variational principle with applicationsHasanen A. Hammad0Hassen Aydi1Manuel De la Sen2Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptUniversité de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia; China Medical University Hospital, China Medical University, Taichung 40402, Taiwan; Corresponding author.Institute of Research and Development of Processes, University of the Basque Country, 48940 Leioa, Bizkaia, SpainThis manuscript was built to generalize Ekeland variational principle for mixed monotone functions in the setting of partially ordered complete metric spaces. The results obtained are applied to give different proofs for tripled fixed points of mixed monotone mappings in the mentioned space by using a variational technique. The results presented in our manuscripts generalize and expand many of the findings presented in the earlier period. For the sobriety and enhancement of our paper, two examples are given and the existence and uniqueness of the solution to a periodic boundary value problem are studied as applications.http://www.sciencedirect.com/science/article/pii/S111001682100511147H1054H2534B15 |
| spellingShingle | Hasanen A. Hammad Hassen Aydi Manuel De la Sen New contributions for tripled fixed point methodologies via a generalized variational principle with applications Alexandria Engineering Journal 47H10 54H25 34B15 |
| title | New contributions for tripled fixed point methodologies via a generalized variational principle with applications |
| title_full | New contributions for tripled fixed point methodologies via a generalized variational principle with applications |
| title_fullStr | New contributions for tripled fixed point methodologies via a generalized variational principle with applications |
| title_full_unstemmed | New contributions for tripled fixed point methodologies via a generalized variational principle with applications |
| title_short | New contributions for tripled fixed point methodologies via a generalized variational principle with applications |
| title_sort | new contributions for tripled fixed point methodologies via a generalized variational principle with applications |
| topic | 47H10 54H25 34B15 |
| url | http://www.sciencedirect.com/science/article/pii/S1110016821005111 |
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