Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces
The purpose of this paper is to introduce and study a class of nonlinear variational inequalities in reflexive Banach spaces and topological vector spaces. Based on the KKM technique, the solvability of this kind of nonlinear variational inequalities is presented. The obtained results extend, improv...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120320627X |
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| _version_ | 1832558986974461952 |
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| author | Zeqing Liu Jeong Sheok Ume Shin Min Kang |
| author_facet | Zeqing Liu Jeong Sheok Ume Shin Min Kang |
| author_sort | Zeqing Liu |
| collection | DOAJ |
| description | The purpose of this paper is to introduce and study a class of
nonlinear variational inequalities in reflexive Banach spaces and
topological vector spaces. Based on the KKM technique, the
solvability of this kind of nonlinear variational inequalities is
presented. The obtained results extend, improve, and unify the
results due to Browder, Carbone, Siddiqi, Ansari, Kazmi, Verma,
and others. |
| format | Article |
| id | doaj-art-25f112e1a9da4eb08144d480ea5d11e7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-25f112e1a9da4eb08144d480ea5d11e72025-02-03T01:31:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003419920710.1155/S016117120320627XNonlinear variational inequalities on reflexive Banach spaces and topological vector spacesZeqing Liu0Jeong Sheok Ume1Shin Min Kang2Department of Mathematics, Liaoning Normal University, Liaoning, Dalian 116029, ChinaDepartment of Applied Mathematics, Changwon National University, Changwon 641-773, KoreaDepartment of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Chinju 660-701, KoreaThe purpose of this paper is to introduce and study a class of nonlinear variational inequalities in reflexive Banach spaces and topological vector spaces. Based on the KKM technique, the solvability of this kind of nonlinear variational inequalities is presented. The obtained results extend, improve, and unify the results due to Browder, Carbone, Siddiqi, Ansari, Kazmi, Verma, and others.http://dx.doi.org/10.1155/S016117120320627X |
| spellingShingle | Zeqing Liu Jeong Sheok Ume Shin Min Kang Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces International Journal of Mathematics and Mathematical Sciences |
| title | Nonlinear variational inequalities on reflexive Banach spaces and
topological vector spaces |
| title_full | Nonlinear variational inequalities on reflexive Banach spaces and
topological vector spaces |
| title_fullStr | Nonlinear variational inequalities on reflexive Banach spaces and
topological vector spaces |
| title_full_unstemmed | Nonlinear variational inequalities on reflexive Banach spaces and
topological vector spaces |
| title_short | Nonlinear variational inequalities on reflexive Banach spaces and
topological vector spaces |
| title_sort | nonlinear variational inequalities on reflexive banach spaces and topological vector spaces |
| url | http://dx.doi.org/10.1155/S016117120320627X |
| work_keys_str_mv | AT zeqingliu nonlinearvariationalinequalitiesonreflexivebanachspacesandtopologicalvectorspaces AT jeongsheokume nonlinearvariationalinequalitiesonreflexivebanachspacesandtopologicalvectorspaces AT shinminkang nonlinearvariationalinequalitiesonreflexivebanachspacesandtopologicalvectorspaces |