Concerning Kirk’s problem
Abstract This paper presents a straightforward statement for Khamsi’s theorem without assuming continuity or nondecreasing restrictions on η. Additionally, a new proof provides an affirmative answer to Kirk’s problem, supported by examples. Finally, Ekeland’s variational principle (abbreviated EVP)...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Fixed Point Theory and Algorithms for Sciences and Engineering |
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| Online Access: | https://doi.org/10.1186/s13663-024-00780-3 |
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| _version_ | 1832585427793477632 |
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| author | Hamid Mottaghi Golshan |
| author_facet | Hamid Mottaghi Golshan |
| author_sort | Hamid Mottaghi Golshan |
| collection | DOAJ |
| description | Abstract This paper presents a straightforward statement for Khamsi’s theorem without assuming continuity or nondecreasing restrictions on η. Additionally, a new proof provides an affirmative answer to Kirk’s problem, supported by examples. Finally, Ekeland’s variational principle (abbreviated EVP) is developed. |
| format | Article |
| id | doaj-art-6aa513eee80448c7a43523a80efa66c5 |
| institution | Kabale University |
| issn | 2730-5422 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Algorithms for Sciences and Engineering |
| spelling | doaj-art-6aa513eee80448c7a43523a80efa66c52025-01-26T12:48:49ZengSpringerOpenFixed Point Theory and Algorithms for Sciences and Engineering2730-54222025-01-012025111010.1186/s13663-024-00780-3Concerning Kirk’s problemHamid Mottaghi Golshan0Department of Mathematics, Shahryar Branch, Islamic Azad UniversityAbstract This paper presents a straightforward statement for Khamsi’s theorem without assuming continuity or nondecreasing restrictions on η. Additionally, a new proof provides an affirmative answer to Kirk’s problem, supported by examples. Finally, Ekeland’s variational principle (abbreviated EVP) is developed.https://doi.org/10.1186/s13663-024-00780-3Kirk’s problem (abbreviated KP)Caristi’s fixed point theorem (abbreviated CFT)EVP |
| spellingShingle | Hamid Mottaghi Golshan Concerning Kirk’s problem Fixed Point Theory and Algorithms for Sciences and Engineering Kirk’s problem (abbreviated KP) Caristi’s fixed point theorem (abbreviated CFT) EVP |
| title | Concerning Kirk’s problem |
| title_full | Concerning Kirk’s problem |
| title_fullStr | Concerning Kirk’s problem |
| title_full_unstemmed | Concerning Kirk’s problem |
| title_short | Concerning Kirk’s problem |
| title_sort | concerning kirk s problem |
| topic | Kirk’s problem (abbreviated KP) Caristi’s fixed point theorem (abbreviated CFT) EVP |
| url | https://doi.org/10.1186/s13663-024-00780-3 |
| work_keys_str_mv | AT hamidmottaghigolshan concerningkirksproblem |