Approximate Convexity for Set-Valued Maps
In this paper, we extend the notion of approximate convexity to set-valued maps and obtain some relations between approximate convexity and approximate monotonicity of their normal subdifferential.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Kashan
2023-12-01
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| Series: | Mathematics Interdisciplinary Research |
| Subjects: | |
| Online Access: | https://mir.kashanu.ac.ir/article_114046_47cb833350181c0aa5cd651bacb7891f.pdf |
| _version_ | 1797364196178919424 |
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| author | Zohreh Kefayati Morteza Oveisiha |
| author_facet | Zohreh Kefayati Morteza Oveisiha |
| author_sort | Zohreh Kefayati |
| collection | DOAJ |
| description | In this paper, we extend the notion of approximate convexity to set-valued maps and obtain some relations between approximate convexity and approximate monotonicity of their normal subdifferential. |
| first_indexed | 2024-03-08T16:31:44Z |
| format | Article |
| id | doaj.art-eb8e2f22a0294e1994a84f0031649507 |
| institution | Directory Open Access Journal |
| issn | 2476-4965 |
| language | English |
| last_indexed | 2024-03-08T16:31:44Z |
| publishDate | 2023-12-01 |
| publisher | University of Kashan |
| record_format | Article |
| series | Mathematics Interdisciplinary Research |
| spelling | doaj.art-eb8e2f22a0294e1994a84f00316495072024-01-06T07:05:55ZengUniversity of KashanMathematics Interdisciplinary Research2476-49652023-12-018433734510.22052/mir.2023.248235.1371114046Approximate Convexity for Set-Valued MapsZohreh Kefayati0Morteza Oveisiha1Department of Pure Mathematics, Imam Khomeini International University, Qazvin, IranDepartment of Pure Mathematics, Imam Khomeini International University, Qazvin, IranIn this paper, we extend the notion of approximate convexity to set-valued maps and obtain some relations between approximate convexity and approximate monotonicity of their normal subdifferential.https://mir.kashanu.ac.ir/article_114046_47cb833350181c0aa5cd651bacb7891f.pdfgeneralized convexitygeneralized monotonicityset-valued mapgeneralized subdifferential |
| spellingShingle | Zohreh Kefayati Morteza Oveisiha Approximate Convexity for Set-Valued Maps Mathematics Interdisciplinary Research generalized convexity generalized monotonicity set-valued map generalized subdifferential |
| title | Approximate Convexity for Set-Valued Maps |
| title_full | Approximate Convexity for Set-Valued Maps |
| title_fullStr | Approximate Convexity for Set-Valued Maps |
| title_full_unstemmed | Approximate Convexity for Set-Valued Maps |
| title_short | Approximate Convexity for Set-Valued Maps |
| title_sort | approximate convexity for set valued maps |
| topic | generalized convexity generalized monotonicity set-valued map generalized subdifferential |
| url | https://mir.kashanu.ac.ir/article_114046_47cb833350181c0aa5cd651bacb7891f.pdf |
| work_keys_str_mv | AT zohrehkefayati approximateconvexityforsetvaluedmaps AT mortezaoveisiha approximateconvexityforsetvaluedmaps |