Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps
In this paper, we establish some existence results for strong vector equilibrium problems (for short, SVEP) in topological vector spaces. The solvability of the SVEP is presented using the Fan-KKM lemma. These results give a positive answer to an open problem proposed by Chen and Hou and generalize...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universidad de La Frontera
2010-01-01
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| Series: | Cubo |
| Subjects: | |
| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100018 |
| _version_ | 1819091986371575808 |
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| author | A.P Farajzadeh A Amini-Harandi D O'Regan R.P Agarwal |
| author_facet | A.P Farajzadeh A Amini-Harandi D O'Regan R.P Agarwal |
| author_sort | A.P Farajzadeh |
| collection | DOAJ |
| description | In this paper, we establish some existence results for strong vector equilibrium problems (for short, SVEP) in topological vector spaces. The solvability of the SVEP is presented using the Fan-KKM lemma. These results give a positive answer to an open problem proposed by Chen and Hou and generalize many important results in the recent literature.<br>En este artículo, establecemos algunos resultados de existencia para problemas de equilibrio strong vector en espacios vectoriales topológicos (abreviadamente, SVEP). La salubilidad del SVEP es presentada usando el lema de Fan-KKM. Estos resultados dan una respuesta positiva a problemas abiertos propuestos por Chen y Hon y generalizan varios resultados importantes en la literatura reciente. |
| first_indexed | 2024-12-21T22:48:26Z |
| format | Article |
| id | doaj.art-8d353b0534d14e8dacabeba1df48f9b9 |
| institution | Directory Open Access Journal |
| issn | 0716-7776 0719-0646 |
| language | English |
| last_indexed | 2024-12-21T22:48:26Z |
| publishDate | 2010-01-01 |
| publisher | Universidad de La Frontera |
| record_format | Article |
| series | Cubo |
| spelling | doaj.art-8d353b0534d14e8dacabeba1df48f9b92022-12-21T18:47:39ZengUniversidad de La FronteraCubo0716-77760719-06462010-01-01121219230Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM MapsA.P FarajzadehA Amini-HarandiD O'ReganR.P AgarwalIn this paper, we establish some existence results for strong vector equilibrium problems (for short, SVEP) in topological vector spaces. The solvability of the SVEP is presented using the Fan-KKM lemma. These results give a positive answer to an open problem proposed by Chen and Hou and generalize many important results in the recent literature.<br>En este artículo, establecemos algunos resultados de existencia para problemas de equilibrio strong vector en espacios vectoriales topológicos (abreviadamente, SVEP). La salubilidad del SVEP es presentada usando el lema de Fan-KKM. Estos resultados dan una respuesta positiva a problemas abiertos propuestos por Chen y Hon y generalizan varios resultados importantes en la literatura reciente.http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100018Strong vector equilibriumUpper sign continuityPseudomonotone bifunctionQuasimonotone bifunction |
| spellingShingle | A.P Farajzadeh A Amini-Harandi D O'Regan R.P Agarwal Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps Cubo Strong vector equilibrium Upper sign continuity Pseudomonotone bifunction Quasimonotone bifunction |
| title | Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps |
| title_full | Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps |
| title_fullStr | Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps |
| title_full_unstemmed | Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps |
| title_short | Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps |
| title_sort | strong vector equilibrium problems in topological vector spaces via kkm maps |
| topic | Strong vector equilibrium Upper sign continuity Pseudomonotone bifunction Quasimonotone bifunction |
| url | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100018 |
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