Ekeland's variational principle in fuzzy quasi-normed spaces
Fuzzy quasi-normed space provides an ideal mathematical framework for studying asymmetric phenomena. In this paper, we prove a version of the Ekeland variational principle in fuzzy quasi-normed spaces and apply it to Caristi's fixed point theorem and Takahashi minimization theorem. Moreover, we...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-06-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022874?viewType=HTML |
| _version_ | 1818158259625787392 |
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| author | Wei Zhou Jianrong Wu |
| author_facet | Wei Zhou Jianrong Wu |
| author_sort | Wei Zhou |
| collection | DOAJ |
| description | Fuzzy quasi-normed space provides an ideal mathematical framework for studying asymmetric phenomena. In this paper, we prove a version of the Ekeland variational principle in fuzzy quasi-normed spaces and apply it to Caristi's fixed point theorem and Takahashi minimization theorem. Moreover, we prove the equivalence relations among these theorems. |
| first_indexed | 2024-12-11T15:27:15Z |
| format | Article |
| id | doaj.art-c4f7fdc866014ad987e5e442e91c6c53 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-11T15:27:15Z |
| publishDate | 2022-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-c4f7fdc866014ad987e5e442e91c6c532022-12-22T01:00:11ZengAIMS PressAIMS Mathematics2473-69882022-06-0179159821599110.3934/math.2022874Ekeland's variational principle in fuzzy quasi-normed spacesWei Zhou0Jianrong Wu1College of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, ChinaCollege of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, ChinaFuzzy quasi-normed space provides an ideal mathematical framework for studying asymmetric phenomena. In this paper, we prove a version of the Ekeland variational principle in fuzzy quasi-normed spaces and apply it to Caristi's fixed point theorem and Takahashi minimization theorem. Moreover, we prove the equivalence relations among these theorems.https://www.aimspress.com/article/doi/10.3934/math.2022874?viewType=HTMLfuzzy quasi-normvariational principlefixed point theoremminimization theorem |
| spellingShingle | Wei Zhou Jianrong Wu Ekeland's variational principle in fuzzy quasi-normed spaces AIMS Mathematics fuzzy quasi-norm variational principle fixed point theorem minimization theorem |
| title | Ekeland's variational principle in fuzzy quasi-normed spaces |
| title_full | Ekeland's variational principle in fuzzy quasi-normed spaces |
| title_fullStr | Ekeland's variational principle in fuzzy quasi-normed spaces |
| title_full_unstemmed | Ekeland's variational principle in fuzzy quasi-normed spaces |
| title_short | Ekeland's variational principle in fuzzy quasi-normed spaces |
| title_sort | ekeland s variational principle in fuzzy quasi normed spaces |
| topic | fuzzy quasi-norm variational principle fixed point theorem minimization theorem |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022874?viewType=HTML |
| work_keys_str_mv | AT weizhou ekelandsvariationalprincipleinfuzzyquasinormedspaces AT jianrongwu ekelandsvariationalprincipleinfuzzyquasinormedspaces |