From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces
We discuss the extension of some fundamental results in nonlinear analysis to the setting of 0σ-complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/319619 |
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| _version_ | 1832563814266044416 |
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| author | Mohamed Jleli Bessem Samet Calogero Vetro Francesca Vetro |
| author_facet | Mohamed Jleli Bessem Samet Calogero Vetro Francesca Vetro |
| author_sort | Mohamed Jleli |
| collection | DOAJ |
| description | We discuss the extension of some fundamental results in nonlinear analysis to the setting of 0σ-complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces. |
| format | Article |
| id | doaj-art-f95c527526064376a43dda3ad47b74f7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f95c527526064376a43dda3ad47b74f72025-02-03T01:12:35ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/319619319619From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like SpacesMohamed Jleli0Bessem Samet1Calogero Vetro2Francesca Vetro3Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDipartimento di Matematica e Informatica, Universita’ degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, ItalyDipartimento Energia, Ingegneria dell'Informazione e Modelli Matematici (DEIM), Universita’ degli Studi di Palermo, Viale delle Scienze, 90128 Palermo, ItalyWe discuss the extension of some fundamental results in nonlinear analysis to the setting of 0σ-complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.http://dx.doi.org/10.1155/2014/319619 |
| spellingShingle | Mohamed Jleli Bessem Samet Calogero Vetro Francesca Vetro From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces Abstract and Applied Analysis |
| title | From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces |
| title_full | From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces |
| title_fullStr | From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces |
| title_full_unstemmed | From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces |
| title_short | From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces |
| title_sort | from caristi s theorem to ekeland s variational principle in 0σ complete metric like spaces |
| url | http://dx.doi.org/10.1155/2014/319619 |
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