The θ-exterior sphere condition, φ-convexity, and local semiconcavity
We consider sets S⊂Rn satisfying a locally uniform exterior sphere condition called the θ-exterior sphere condition . It is shown that under wedgedness of S, this coincides with the φ-convexity property studied by Colombo and Marigonda (2005) [5]. This generalizes and improves upon the main result o...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | , |
| التنسيق: | article |
| منشور في: |
2010
|
| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/3521 http://dx.doi.org/10.1016/j.na.2010.04.001 http://www.sciencedirect.com/science/article/pii/S0362546X10002014 |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| _version_ | 1864513461367603200 |
|---|---|
| author | Nour, C. |
| author2 | Stern, R. J. Takche, J. |
| author2_role | author author |
| author_facet | Nour, C. Stern, R. J. Takche, J. |
| author_role | author |
| dc.creator.none.fl_str_mv | Nour, C. Stern, R. J. Takche, J. |
| dc.date.none.fl_str_mv | 2010 2016-04-08T11:39:25Z 2016-04-08T11:39:25Z 2016-04-08 |
| dc.identifier.none.fl_str_mv | 0362-546X http://hdl.handle.net/10725/3521 http://dx.doi.org/10.1016/j.na.2010.04.001 Nour, C., Stern, R. J., & Takche, J. (2010). The θ-exterior sphere condition, φ-convexity, and local semiconcavity. Nonlinear Analysis: Theory, Methods & Applications, 73(2), 573-589. http://www.sciencedirect.com/science/article/pii/S0362546X10002014 |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | Nonlinear Analysis: Theory, Methods & Applications |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | The θ-exterior sphere condition, φ-convexity, and local semiconcavity |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | We consider sets S⊂Rn satisfying a locally uniform exterior sphere condition called the θ-exterior sphere condition . It is shown that under wedgedness of S, this coincides with the φ-convexity property studied by Colombo and Marigonda (2005) [5]. This generalizes and improves upon the main result of Nour et al. (2009) [10], where the constant radius case was considered. We also generalize certain known results concerning the regularity of the distance function associated with S, as well as semiconcavity and other properties of functions with hypographs satisfying the θ-exterior sphere condition. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_2ef51279563f8ec97f17c552b1a352a8 |
| identifier_str_mv | 0362-546X Nour, C., Stern, R. J., & Takche, J. (2010). The θ-exterior sphere condition, φ-convexity, and local semiconcavity. Nonlinear Analysis: Theory, Methods & Applications, 73(2), 573-589. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/3521 |
| publishDate | 2010 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | The θ-exterior sphere condition, φ-convexity, and local semiconcavityNour, C.Stern, R. J.Takche, J.We consider sets S⊂Rn satisfying a locally uniform exterior sphere condition called the θ-exterior sphere condition . It is shown that under wedgedness of S, this coincides with the φ-convexity property studied by Colombo and Marigonda (2005) [5]. This generalizes and improves upon the main result of Nour et al. (2009) [10], where the constant radius case was considered. We also generalize certain known results concerning the regularity of the distance function associated with S, as well as semiconcavity and other properties of functions with hypographs satisfying the θ-exterior sphere condition.PublishedN/A2016-04-08T11:39:25Z2016-04-08T11:39:25Z20102016-04-08Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0362-546Xhttp://hdl.handle.net/10725/3521http://dx.doi.org/10.1016/j.na.2010.04.001Nour, C., Stern, R. J., & Takche, J. (2010). The θ-exterior sphere condition, φ-convexity, and local semiconcavity. Nonlinear Analysis: Theory, Methods & Applications, 73(2), 573-589.http://www.sciencedirect.com/science/article/pii/S0362546X10002014enNonlinear Analysis: Theory, Methods & Applicationsinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/35212021-11-23T12:38:40Z |
| spellingShingle | The θ-exterior sphere condition, φ-convexity, and local semiconcavity Nour, C. |
| status_str | publishedVersion |
| title | The θ-exterior sphere condition, φ-convexity, and local semiconcavity |
| title_full | The θ-exterior sphere condition, φ-convexity, and local semiconcavity |
| title_fullStr | The θ-exterior sphere condition, φ-convexity, and local semiconcavity |
| title_full_unstemmed | The θ-exterior sphere condition, φ-convexity, and local semiconcavity |
| title_short | The θ-exterior sphere condition, φ-convexity, and local semiconcavity |
| title_sort | The θ-exterior sphere condition, φ-convexity, and local semiconcavity |
| url | http://hdl.handle.net/10725/3521 http://dx.doi.org/10.1016/j.na.2010.04.001 http://www.sciencedirect.com/science/article/pii/S0362546X10002014 |