Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality
Under new assumptions, which do not contain any information about the solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric generalized weak Ky Fan inequality are established by using a nonlinear scalarization technique. These results extend and improve t...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/451521 |
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| _version_ | 1849472942041202688 |
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| author | Y. D. Xu |
| author_facet | Y. D. Xu |
| author_sort | Y. D. Xu |
| collection | DOAJ |
| description | Under new assumptions, which do not contain any information about the
solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric
generalized weak Ky Fan inequality are established by using a nonlinear scalarization technique.
These results extend and improve the recent ones in the literature. Some examples are given to
illustrate our results. |
| format | Article |
| id | doaj-art-dbac1c03eddb4f6d817a272d55fef4d4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-dbac1c03eddb4f6d817a272d55fef4d42025-08-20T03:24:21ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/451521451521Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan InequalityY. D. Xu0College of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaUnder new assumptions, which do not contain any information about the solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric generalized weak Ky Fan inequality are established by using a nonlinear scalarization technique. These results extend and improve the recent ones in the literature. Some examples are given to illustrate our results.http://dx.doi.org/10.1155/2014/451521 |
| spellingShingle | Y. D. Xu Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality Abstract and Applied Analysis |
| title | Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality |
| title_full | Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality |
| title_fullStr | Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality |
| title_full_unstemmed | Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality |
| title_short | Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality |
| title_sort | semicontinuity of the solution mapping to a parametric generalized weak ky fan inequality |
| url | http://dx.doi.org/10.1155/2014/451521 |
| work_keys_str_mv | AT ydxu semicontinuityofthesolutionmappingtoaparametricgeneralizedweakkyfaninequality |