The Relationship between Two Kinds of Generalized Convex Set-Valued Maps in Real Ordered Linear Spaces
A new notion of the ic-cone convexlike set-valued map characterized by the algebraic interior and the vector closure is introduced in real ordered linear spaces. The relationship between the ic-cone convexlike set-valued map and the nearly cone subconvexlike set-valued map is established. The result...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/105617 |
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| _version_ | 1832561968041426944 |
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| author | Zhi-Ang Zhou |
| author_facet | Zhi-Ang Zhou |
| author_sort | Zhi-Ang Zhou |
| collection | DOAJ |
| description | A new notion of the ic-cone convexlike set-valued map characterized by the algebraic interior and the vector closure is introduced in real ordered linear spaces. The relationship between the ic-cone convexlike set-valued map and the nearly cone subconvexlike set-valued map is established. The results in this paper generalize some known results in the literature from locally convex spaces to linear spaces. |
| format | Article |
| id | doaj-art-3b7e865c2c2847a5be418f429a50459f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3b7e865c2c2847a5be418f429a50459f2025-02-03T01:23:44ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/105617105617The Relationship between Two Kinds of Generalized Convex Set-Valued Maps in Real Ordered Linear SpacesZhi-Ang Zhou0College of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, ChinaA new notion of the ic-cone convexlike set-valued map characterized by the algebraic interior and the vector closure is introduced in real ordered linear spaces. The relationship between the ic-cone convexlike set-valued map and the nearly cone subconvexlike set-valued map is established. The results in this paper generalize some known results in the literature from locally convex spaces to linear spaces.http://dx.doi.org/10.1155/2013/105617 |
| spellingShingle | Zhi-Ang Zhou The Relationship between Two Kinds of Generalized Convex Set-Valued Maps in Real Ordered Linear Spaces Abstract and Applied Analysis |
| title | The Relationship between Two Kinds of Generalized Convex Set-Valued Maps in Real Ordered Linear Spaces |
| title_full | The Relationship between Two Kinds of Generalized Convex Set-Valued Maps in Real Ordered Linear Spaces |
| title_fullStr | The Relationship between Two Kinds of Generalized Convex Set-Valued Maps in Real Ordered Linear Spaces |
| title_full_unstemmed | The Relationship between Two Kinds of Generalized Convex Set-Valued Maps in Real Ordered Linear Spaces |
| title_short | The Relationship between Two Kinds of Generalized Convex Set-Valued Maps in Real Ordered Linear Spaces |
| title_sort | relationship between two kinds of generalized convex set valued maps in real ordered linear spaces |
| url | http://dx.doi.org/10.1155/2013/105617 |
| work_keys_str_mv | AT zhiangzhou therelationshipbetweentwokindsofgeneralizedconvexsetvaluedmapsinrealorderedlinearspaces AT zhiangzhou relationshipbetweentwokindsofgeneralizedconvexsetvaluedmapsinrealorderedlinearspaces |