Caristi Type Selections of Multivalued Mappings
Multivalued mappings and related selection theorems are fundamental tools in many branches of mathematics and applied sciences. In this paper we continue this theory and prove the existence of Caristi type selections for generalized multivalued contractions on complete metric spaces, by using some c...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/941856 |
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| _version_ | 1832564365139640320 |
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| author | Calogero Vetro Francesca Vetro |
| author_facet | Calogero Vetro Francesca Vetro |
| author_sort | Calogero Vetro |
| collection | DOAJ |
| description | Multivalued mappings and related selection theorems are fundamental tools in many branches of mathematics and applied sciences. In this paper we continue this theory and prove the existence of Caristi type selections for generalized multivalued contractions on complete metric spaces, by using some classes of functions. Also we prove fixed point and quasi-fixed point theorems. |
| format | Article |
| id | doaj-art-dfcb5d01fd8b4407b9a81a7048b8867d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-dfcb5d01fd8b4407b9a81a7048b8867d2025-02-03T01:11:19ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/941856941856Caristi Type Selections of Multivalued MappingsCalogero Vetro0Francesca Vetro1Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, ItalyDipartimento Energia, Ingegneria dell’Informazione e Modelli Matematici (DEIM), Università degli Studi di Palermo, Viale delle Scienze, 90128 Palermo, ItalyMultivalued mappings and related selection theorems are fundamental tools in many branches of mathematics and applied sciences. In this paper we continue this theory and prove the existence of Caristi type selections for generalized multivalued contractions on complete metric spaces, by using some classes of functions. Also we prove fixed point and quasi-fixed point theorems.http://dx.doi.org/10.1155/2015/941856 |
| spellingShingle | Calogero Vetro Francesca Vetro Caristi Type Selections of Multivalued Mappings Journal of Function Spaces |
| title | Caristi Type Selections of Multivalued Mappings |
| title_full | Caristi Type Selections of Multivalued Mappings |
| title_fullStr | Caristi Type Selections of Multivalued Mappings |
| title_full_unstemmed | Caristi Type Selections of Multivalued Mappings |
| title_short | Caristi Type Selections of Multivalued Mappings |
| title_sort | caristi type selections of multivalued mappings |
| url | http://dx.doi.org/10.1155/2015/941856 |
| work_keys_str_mv | AT calogerovetro caristitypeselectionsofmultivaluedmappings AT francescavetro caristitypeselectionsofmultivaluedmappings |