Remarks on Weakly KKM Maps in Abstract Convex Spaces
A KKM space is an abstract convex space satisfying the KKM principle. We obtain variants of the KKM principle for KKM spaces related to weakly KKM maps and indicate some applications of them. These results properly generalize the corresponding ones in G-convex spaces and ϕA-spaces (X,D;{ϕA}A∈〈D〉). C...
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| Format: | Article |
| Language: | English |
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2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/423596 |
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| _version_ | 1849307857965547520 |
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| author | Sehie Park |
| author_facet | Sehie Park |
| author_sort | Sehie Park |
| collection | DOAJ |
| description | A KKM space is an abstract convex space satisfying the KKM principle. We obtain variants of the KKM principle for KKM spaces related to weakly KKM maps and indicate some applications of them. These results properly generalize the corresponding ones in G-convex spaces and ϕA-spaces (X,D;{ϕA}A∈〈D〉). Consequently, results by Balaj 2004, Liu
1991, and Tang et al. 2007 can be properly generalized and
unified. |
| format | Article |
| id | doaj-art-2a62d61d0d544081af40f69a6a3b4b8c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2a62d61d0d544081af40f69a6a3b4b8c2025-08-20T03:54:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/423596423596Remarks on Weakly KKM Maps in Abstract Convex SpacesSehie Park0Natural Sciences Division, The National Academy of Sciences, Seoul 137-044, South KoreaA KKM space is an abstract convex space satisfying the KKM principle. We obtain variants of the KKM principle for KKM spaces related to weakly KKM maps and indicate some applications of them. These results properly generalize the corresponding ones in G-convex spaces and ϕA-spaces (X,D;{ϕA}A∈〈D〉). Consequently, results by Balaj 2004, Liu 1991, and Tang et al. 2007 can be properly generalized and unified.http://dx.doi.org/10.1155/2008/423596 |
| spellingShingle | Sehie Park Remarks on Weakly KKM Maps in Abstract Convex Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Remarks on Weakly KKM Maps in Abstract Convex Spaces |
| title_full | Remarks on Weakly KKM Maps in Abstract Convex Spaces |
| title_fullStr | Remarks on Weakly KKM Maps in Abstract Convex Spaces |
| title_full_unstemmed | Remarks on Weakly KKM Maps in Abstract Convex Spaces |
| title_short | Remarks on Weakly KKM Maps in Abstract Convex Spaces |
| title_sort | remarks on weakly kkm maps in abstract convex spaces |
| url | http://dx.doi.org/10.1155/2008/423596 |
| work_keys_str_mv | AT sehiepark remarksonweaklykkmmapsinabstractconvexspaces |