A remark on Gwinner's existence theorem on variational inequality problem
Gwinner (1981) proved an existence theorem for a variational inequality problem involving an upper semicontinuous multifunction with compact convex values. The aim of this paper is to solve this problem for a multifunction with open inverse values.
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| Format: | Article |
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Hindawi Limited
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200001447 |
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doaj-940ef6e5ba334be2b2790eeb3320bb5b2020-11-24T23:34:37ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124857357510.1155/S0161171200001447A remark on Gwinner's existence theorem on variational inequality problemV. Vetrivel0S. Nanda1Department of Mathematics, Indian Institute of Technology, Madras, IndiaDepartment of Mathematics, Indian Institute of Technology, Kharagpur 721 302, IndiaGwinner (1981) proved an existence theorem for a variational inequality problem involving an upper semicontinuous multifunction with compact convex values. The aim of this paper is to solve this problem for a multifunction with open inverse values.http://dx.doi.org/10.1155/S0161171200001447Variational inequalityfixed pointmultifunction. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
V. Vetrivel S. Nanda |
| spellingShingle |
V. Vetrivel S. Nanda A remark on Gwinner's existence theorem on variational inequality problem International Journal of Mathematics and Mathematical Sciences Variational inequality fixed point multifunction. |
| author_facet |
V. Vetrivel S. Nanda |
| author_sort |
V. Vetrivel |
| title |
A remark on Gwinner's existence theorem on variational inequality problem |
| title_short |
A remark on Gwinner's existence theorem on variational inequality problem |
| title_full |
A remark on Gwinner's existence theorem on variational inequality problem |
| title_fullStr |
A remark on Gwinner's existence theorem on variational inequality problem |
| title_full_unstemmed |
A remark on Gwinner's existence theorem on variational inequality problem |
| title_sort |
remark on gwinner's existence theorem on variational inequality problem |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2000-01-01 |
| description |
Gwinner (1981) proved an existence theorem for a variational
inequality problem involving an upper semicontinuous multifunction
with compact convex values. The aim of this paper is to solve this
problem for a multifunction with open inverse values. |
| topic |
Variational inequality fixed point multifunction. |
| url |
http://dx.doi.org/10.1155/S0161171200001447 |
| work_keys_str_mv |
AT vvetrivel aremarkongwinnersexistencetheoremonvariationalinequalityproblem AT snanda aremarkongwinnersexistencetheoremonvariationalinequalityproblem AT vvetrivel remarkongwinnersexistencetheoremonvariationalinequalityproblem AT snanda remarkongwinnersexistencetheoremonvariationalinequalityproblem |
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1725528512782139392 |