Some set-valued and multi-valued contraction results in fuzzy cone metric spaces
Abstract This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction mappings. We prove a fixed point theorem for...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-06-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-021-02646-3 |
| _version_ | 1818922933966340096 |
|---|---|
| author | Saif Ur Rehman Hassen Aydi Gui-Xiu Chen Shamoona Jabeen Sami Ullah Khan |
| author_facet | Saif Ur Rehman Hassen Aydi Gui-Xiu Chen Shamoona Jabeen Sami Ullah Khan |
| author_sort | Saif Ur Rehman |
| collection | DOAJ |
| description | Abstract This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction mappings. We prove a fixed point theorem for multi-valued rational type fuzzy cone-contractions in fuzzy cone metric spaces. Our results extend and improve some results given in the literature. |
| first_indexed | 2024-12-20T02:01:25Z |
| format | Article |
| id | doaj.art-737da05d833048aea7dc04634d07154c |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-20T02:01:25Z |
| publishDate | 2021-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-737da05d833048aea7dc04634d07154c2022-12-21T19:57:18ZengSpringerOpenJournal of Inequalities and Applications1029-242X2021-06-012021111910.1186/s13660-021-02646-3Some set-valued and multi-valued contraction results in fuzzy cone metric spacesSaif Ur Rehman0Hassen Aydi1Gui-Xiu Chen2Shamoona Jabeen3Sami Ullah Khan4Department of Mathematics, Gomal UniversityInstitut Superieur d’Informatique et des Techniques de Communication, Universite de SousseSchool of Mathematics and Statistics, Qinghai Normal UniversitySchool of Mathematical Sciences, Beihang UniversityDepartment of Mathematics, Gomal UniversityAbstract This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction mappings. We prove a fixed point theorem for multi-valued rational type fuzzy cone-contractions in fuzzy cone metric spaces. Our results extend and improve some results given in the literature.https://doi.org/10.1186/s13660-021-02646-3Fixed pointFuzzy cone metric spaceHausdorff metricContraction conditions |
| spellingShingle | Saif Ur Rehman Hassen Aydi Gui-Xiu Chen Shamoona Jabeen Sami Ullah Khan Some set-valued and multi-valued contraction results in fuzzy cone metric spaces Journal of Inequalities and Applications Fixed point Fuzzy cone metric space Hausdorff metric Contraction conditions |
| title | Some set-valued and multi-valued contraction results in fuzzy cone metric spaces |
| title_full | Some set-valued and multi-valued contraction results in fuzzy cone metric spaces |
| title_fullStr | Some set-valued and multi-valued contraction results in fuzzy cone metric spaces |
| title_full_unstemmed | Some set-valued and multi-valued contraction results in fuzzy cone metric spaces |
| title_short | Some set-valued and multi-valued contraction results in fuzzy cone metric spaces |
| title_sort | some set valued and multi valued contraction results in fuzzy cone metric spaces |
| topic | Fixed point Fuzzy cone metric space Hausdorff metric Contraction conditions |
| url | https://doi.org/10.1186/s13660-021-02646-3 |
| work_keys_str_mv | AT saifurrehman somesetvaluedandmultivaluedcontractionresultsinfuzzyconemetricspaces AT hassenaydi somesetvaluedandmultivaluedcontractionresultsinfuzzyconemetricspaces AT guixiuchen somesetvaluedandmultivaluedcontractionresultsinfuzzyconemetricspaces AT shamoonajabeen somesetvaluedandmultivaluedcontractionresultsinfuzzyconemetricspaces AT samiullahkhan somesetvaluedandmultivaluedcontractionresultsinfuzzyconemetricspaces |